Davis spent 25 minutes working on math problems. Carl worked on math problems for m fewer minutes.
Drag a number and symbols to represent the amount of time Carl worked on problems.
X
M
25
Answers
The amount of time Carl represent is 25-m on the problems.
The statement "Davis spent 25 minutes working on math problems. Carl worked on math problems for m fewer minutes" means that Carl spent some amount of time working on math problems, but that amount is m minutes less than what Davis spent.
To represent the amount of time Carl worked on math problems, we can use the variable X. We know that X is equal to the amount of time Carl worked on math problems, and that X is equal to 25 minus m.
This is because Davis spent 25 minutes on math problems, and Carl worked on them for m fewer minutes. So if we subtract m from 25, we get the amount of time Carl worked on math problems.
Therefore, the equation X = 25 - m represents the amount of time Carl worked on math problems, where X is the amount of time in minutes and m is the number of minutes Carl worked less than Davis.
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Related Questions
Write an equation of the line that passes through $\left(-1,\ 3\right)$ and is parallel to the line $y=-3x+2$ .
Answers
The equation of the line that passes through point (-1, 3) and parallel to line y = 3x + 2 is
y = 3x + 4How to find the line that passes through point point (-1, 3)As a parallel line part of the qualities include that the slopes of the lines are equal
The equation of line is y = 3x + 2
The slope intercept form of the form as
y = mx + c
where
m = slope
c = intercept
x = input variables
y = output variables
Line has slope, m = 3, a new parallel line of slope 3 passing through point (-1, 3)
(y - y₁) = m (x - x₁)
y - 3 = 3 (x - -1)
y = 3x + 1 + 3
y = 3x + 4
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please answer my question
Answers
Answer:
Graph C
Step-by-step explanation:
They are "opposites" for each other, and aside from 0, are functions.
(answered this on your other question, but I will put it here too!)
Son "opuestos" entre sí y, a excepción de 0, son funciones.
(respondí esto en tu otra pregunta, ¡pero también lo pondré aquí!)
please help!! i don’t know how to solve this problem:(
Answers
Answer:
Step-by-step explanation:
6x - 12 + 3x + 30 = 90
9x + 18 = 90
9x = 72
x = 8
6(8) - 12 = 48 - 12 = 36 for m<AOB
3(8) + 30 = 24 + 30 = 54
The major shortcoming of the general linear probability model y = β0 + β1x1 + β2x2 + … + βkxk + ε, is that the predicted values of y can be sometimes ________.
Multiple Choice
at least 0 and no more than 1
greater than 0 and less than 1
less than 0 or greater than 1
less than 1 but more than 0
Answers
The major shortcoming of the general linear probability model y = β0 + β1x1 + β2x2 + … + βkxk + ε, is that the predicted values of y can be sometimes greater than 1 or less than 0.
The linear probability model does not take into account the fact that probabilities are bounded between 0 and 1. As a result, the predicted values of y can sometimes fall outside of this range, which is not meaningful or interpretable in terms of probability. To address this issue, alternative models such as logistic regression or probit regression can be used, which are specifically designed to model probabilities and ensure that predicted values fall within the appropriate range. These models use non-linear functions to map the values of the independent variables to probabilities, thereby avoiding the problem of predicted values falling outside the valid range.
Therefore,the major shortcoming of the general linear probability model y = β0 + β1x1 + β2x2 + … + βkxk + ε, is that the predicted values of y can be sometimes greater than 1 or less than 0.
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Please Help!!!!!!!!!!
A submarine descends at a rate of 2.6 kilometers per hour
If the ocean floor is 6.24 kilometers below sea level,how long will it take for the submarine to descend to the ocean floor?Round to the nearest tenth
Answers
Given : A submarine descends at a rate of 2.6 kilometers per hour.
If the ocean floor is 6.24 kilometers below sea level,
To Find : how long will it take the submarine to descend to the ocean floor?
Solution:
The submarine descends at a rate of 2.6 kilometers per hour.
Speed = 2.6 km/hr
The ocean floor is 6.24 kilometers below sea level,
Distance to be covered = 6.24 km
Time= Distance / Speed
= 6.24 / 2.6
= 2.4 hr
The submarine will take 2.4 hrs to descend to the ocean floor
The owner of a pizza restaurant needs to buy a new pizza oven for the restaurant. The oven costs $600, is expected to last 10 years, and will be depreciated using the straight line method. If the total cash inflows from the new oven are constant at $880 for the next 5 years, and the total cash outflows are constant at $240 for the next 5 years,
determine the cash flow for the pizza restaurant in the second year assuming the tax rate is 34%.
Answers
The cash flow for the pizza restaurant in the second year, considering a tax rate of 34%, is $442.80.
To determine the cash flow for the pizza restaurant in the second year, considering a tax rate of 34%, we need to calculate the net cash flow.
Given information:
Cost of the pizza oven: $600
Expected lifespan: 10 years
Cash inflows: $880 per year for the next 5 years
Cash outflows: $240 per year for the next 5 years
Tax rate: 34%
Calculate the annual depreciation expense:
Depreciation Expense = Cost of the pizza oven / Expected lifespan
Depreciation Expense = $600 / 10 = $60 per year
Calculate the taxable income:
Taxable Income = Cash Inflows - Depreciation Expense - Cash Outflows
Taxable Income = $880 - $60 - $240 = $580
Calculate the tax amount:
Tax Amount = Taxable Income * Tax Rate
Tax Amount = $580 * 34% = $197.20
Calculate the net cash flow:
Net Cash Flow = Cash Inflows - Cash Outflows - Tax Amount
Net Cash Flow = $880 - $240 - $197.20 = $442.80
Therefore, the cash flow for the pizza restaurant in the second year, considering a tax rate of 34%, is $442.80.
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The cash flow for the pizza restaurant in the second year, assuming a tax rate of \(34\%\), is \(\$442.80\).
To determine the cash flow for the pizza restaurant in the second year, we need to calculate the net cash flow by subtracting the total cash outflows from the total cash inflows, taking into account the tax rate.
Given:
Cost of the oven: $600
Expected life of the oven: 10 years
Cash inflows per year: $880
Cash outflows per year: $240
Tax rate: 34%
First, we calculate the annual depreciation expense using the straight-line method:
Depreciation expense per year = Cost of the oven / Expected life of the oven
Depreciation expense per year =\(\$600 / 10 = \$60\)
Next, we calculate the taxable income for each year:
Taxable income per year = Cash inflows per year - Depreciation expense per year - Cash outflows per year
Taxable income per year = \(\$880 - \$60 - \$240 = \$580\)
Then, we calculate the tax payable for each year:
Tax payable per year = Taxable income per year * Tax rate
Tax payable per year =\(\$580 * 0.34 =\$197.20\)
Finally, we calculate the net cash flow for the second year:
Net cash flow = Cash inflows per year - Cash outflows per year - Tax payable per year
Net cash flow =\(\$880 - \$240 -\$197.20 = \$442.80\)
Therefore, the cash flow for the pizza restaurant in the second year, assuming a tax rate of \(34\%\), is \(\$442.80\).
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Helppp!!!!!!!!!!!!!!!!!!!!!
Answers
The value of x is equal to 15°
How to determine the value of x?In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.
Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.
By substituting the given parameters, we have the following:
3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.
3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.
23x + 15 = 360°.
23x = 360 - 15
23x = 345
x = 345/23
x = 15°.
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there are two boxes in one of them a white and b black balls. in the other box its reversed. one ball is selected from a random box and put into the other box. another ball is selected from the box with a new ball and it turns out to be white. what is the probability that this white ball has been selected from the box with initially a white balls?
Answers
The probability that a white ball was selected from the box with initially a white balls given that a white ball was selected from the box with a new ball is (a+1)/(a+b+3).
Let's define the events:
- Event A: the white ball was selected from the box with initially a white balls
- Event B: a white ball was selected from the box with a new ball
We want to find the probability of Event A given that Event B has occurred, which can be denoted as P(A|B).
We can use Bayes' theorem to calculate this probability:
P(A|B) = P(B|A) * P(A) / P(B)
where P(B|A) is the probability of selecting a white ball from the box with a new ball given that the ball added to the box was white, P(A) is the prior probability of selecting a ball from the box with initially a white balls, and P(B) is the probability of selecting a white ball from either box.
Since a ball was added to the box with initially a white balls, there are now a+1 white balls and b black balls in that box, and there are b+1 white balls and a black balls in the other box. Therefore, the probability of selecting a white ball from the box with a new ball given that the ball added to the box was white is (a+1)/(2a+2+b+1) = (a+1)/(a+b+2).
The prior probability of selecting a ball from the box with initially a white balls is 1/2, since we are equally likely to select from either box.
The probability of selecting a white ball from either box can be calculated using the law of total probability:
P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)
where P(not A) = 1 - P(A) is the probability of selecting from the box with initially a black balls.
P(B|not A) is the probability of selecting a white ball from the box with a new ball given that the ball added to the box was black, which is (b+1)/(2a+2+b+1) = (b+1)/(a+b+2).
Therefore,
P(B) = (a+1)/(2a+2+b+2) * 1/2 + (b+1)/(2a+2+b+2) * 1/2 = (a+b+2)/(2a+2+b+2) = (a+b+2)/(2(a+b)+4)
Now we can substitute these values into Bayes' theorem:
P(A|B) = (a+1)/(a+b+2) * 1/2 / ((a+1)/(a+b+2) * 1/2 + (b+1)/(a+b+2) * 1/2)
Simplifying this expression gives:
P(A|B) = (a+1)/(a+b+3)
Therefore, the probability that the white ball was selected from the box with initially a white balls given that a white ball was selected from the box with a new ball is (a+1)/(a+b+3).
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A fish market bought two swordfish at a rate of $12 per pound. The cost of the larger fish was 3 times as great as the cost of the smaller fish. The total cost of the two fish was $3,792.How much did each fish weigh?The smaller fish weighed pounds.The larger fish weighed pounds.
Answers
Answer:
Large Fish: 237 lbs Small Fish:79 lbs
Step-by-step explanation:
3792 divided by 12 for the weight, is 316 divide that by 4 to get the smaller fish's weight 79 pounds. multiply that by 3 to get the larger fish's weight 237 pounds.
A normal population has a mean of 12.2 and a standard deviation of 2.5.
a. Compute the z value associated with 14.3 (Round your answer to 2 decimal places.)
b. What proportion of the population is between 12.2 and 14.3? (Round your answer to 4 decimal places.)
c. What proportion of the population is less than 10.0? (Round your answer to 4 decimal places.)
Answers
Answer:
Approximately 0.1894 or 18.94% of the population is less than 10.0.
Step-by-step explanation:
On use the z-score formula and the standard normal distribution.
a. To compute the z-value associated with 14.3, we use the formula:z = (x - μ) / σWhere:
x = 14.3 (the value)
μ = 12.2 (mean)
σ = 2.5 (standard deviation)
Substituting the values:
z = (14.3 - 12.2) / 2.5
z = 2.1 / 2.5
z ≈ 0.84
Therefore, the z-value associated with 14.3 is approximately 0.84.
b. To obtain the proportion of the population between 12.2 and 14.3, we need to get the area under the standard normal distribution curve between the corresponding z-scores.
Using a standard normal distribution table or a calculator, we can find the area associated with each z-score.The z-value for 12.2 can be calculated using the same formula as in part a:
z1 = (12.2 - 12.2) / 2.5
z1 = 0 / 2.5
z1 = 0
The z-value for 14.3 is already known from part a: z2 ≈ 0.84.
Now, we obtain the proportion by subtracting the area associated with z1 from the area associated with z2:
Proportion = Area(z1 < z < z2)
Using a standard normal distribution table or a calculator, we obtain:
Area(z < 0) ≈ 0.5000 (from the table)
Area(z < 0.84) ≈ 0.7995 (from the table)
Proportion = 0.7995 - 0.5000
Proportion ≈ 0.2995
Therefore, approximately 0.2995 or 29.95% of the population is between 12.2 and 14.3.
c. To obtain the proportion of the population less than 10.0, we need to get the area under the standard normal distribution curve to the left of the corresponding z-score.Using the z-score formula:z = (x - μ) / σ
Where:
x = 10.0 (the value)
μ = 12.2 (mean)
σ = 2.5 (standard deviation)
Substituting the values:
z = (10.0 - 12.2) / 2.5
z = -2.2 / 2.5
z ≈ -0.88
Now, we obtain the proportion by looking up the area associated with z ≈ -0.88 using a standard normal distribution table or a calculator:
Area(z < -0.88) ≈ 0.1894 (from the table)
Therefore, approximately 0.1894 or 18.94% of the population is less than 10.0.
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Round 96.1825899389 to 4 decimal places.
Answers
Answer:
96.1826
Step-by-step explanation:
to make that decimal numbers in 4 decimal places, then you count the number at the right hand side after the point, when u get to the 4th digit, you stop, then if the 5th digit is more than 4, they you add 1 to the 4th digit and there u have 96.1826
The Round 96.1825899389 to 4 decimal places will be 96.1826
What is rounding a number to some specific place?Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.
Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.
We need to Round 96.1825899389 to 4 decimal places.
To make that decimal numbers in 4 decimal places, then we count the number at the right hand side after the point, when u get to the 4th digit.
Therefore, the Round 96.1825899389 to 4 decimal places will be 96.1826
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plese help me i need to see if im right
Answers
1. The area of the parallelogram = B. 3,484ft²
2. The volume of the rectangular prism = B. 8m³.
3. The prism's height = C. 3cm
What is a parallelogram?A parallelogram is a two-dimensional geometric shape that has two pairs of parallel sides. This means that the opposite sides of a parallelogram are parallel to each other and have the same length. Additionally, the opposite angles of a parallelogram are congruent (i.e., they have the same measure).
The area of parallelogram will be = b × h
where b = 67ft and h = 52ft
A = 3,484ft²
If you cut a square pyramid in half using a single cut, you will have; Triangle.
The volume of the rectangular prism will be = l × w × h
= 1m × 2m × 4m = 8m³.
If the volume of the prism is 120cm³, the prism's height will be = V/(l × w)
= 12Ocm³/(5 × 8)
= 120/40 = 3cm
The surface area of a cylinder is 2π r h + 2π r²
A = (2 × 3.142 × 4 × 12.4) + (2 × 3.142 × 4 × 4)
= 311.6864 + 100.544 = 412cm²
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Ocean Bike Tours wants to provide bandanas for each person. The cost of the bandanas is each person. The cost of the bandana is $45.50 for the design plus $2 per bandana. If C= the cost and n= number of bandanas, what would the total cost for 50 bandanas be?
Answers
Answer:
$145.50
Step-by-step explanation:
C = 45.50 + 2n
45.50 + 2X 100 = $145.50
Which three length combinations below cannot be the side lengths of a triangle?
A. 23 m, 17 m, 14 m
B. 11 m, 11 m, 12 m
C. 5 m, 7 m, 8 m
D. 21 m, 6 m, 10 m
Answers
Answer:
D is the correct answer
Step-by-step explanation:
Trust
Factor
4x^2 - 9 over 6x^2 + 9x
Answers
Answer:
Original fraction: 4x^2 - 9 / 6x^2 + 9x
Factor 4x^2 - 9: (2x + 3)(2x - 3)
Factor 6x^2 + 9x: 3x(2x + 3)
Divide numerator and denominator by 3x: (2x - 3)/2x
Factored form: (2x - 3)/2x
Find the value of x.
Answers
The value of x in the trapezoid is 117°.
What is trapezoid ?A trapezoid is a quadrilateral a four-sided polygon with two parallel sides and two non-parallel sides. The parallel sides are most call the bases of the trapezoid, and the non-parallel sides are called the legs.
In a trapezoid, the opposite angles are supplementary. Therefore, we can set up an equation:
x + 63° = 180°
Solving for x, we get:
x = 180° - 63°
x = 117°
Therefore, the value of x in the trapezoid is 117°.
Full question "Find the value of x in the trapezoid below.
X
63°
X = = [?]°"
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A 29 foot ladder leans against a building so that the angle between the ground and the ladder is 81º. How high does the ladder reach up to the side of building? Round to one decimal place.
= _________ ft
Answers
The ladder reaches up to the side of the building at a height of about 5.9 feet. Rounded to one decimal place, the answer is 5.9 ft.
What are trigonometric equations ?Trigonometric equations are equations that involve one or more trigonometric functions (such as sine, cosine, tangent, etc.) of one or more variables. The goal is usually to solve for one or more unknowns in terms of the given trigonometric functions and their arguments. These types of equations arise naturally in a variety of applications, such as physics, engineering, and geometry.
According to the given information:The ladder, the wall, and the ground form a right triangle, where the ladder is the hypotenuse, the wall is the adjacent side, and the ground is the opposite side. We know the length of the ladder (29 feet) and the angle between the ladder and the ground (81 degrees). We want to find the height the ladder reaches up to the side of the building (the length of the adjacent side).
We can use the cosine function, which relates the adjacent side to the hypotenuse and the angle between them:
cos(81) = adjacent/hypotenuse
We can rearrange this equation to solve for the adjacent side:
adjacent = hypotenuse * cos(81)
Plugging in the values we have:
adjacent = 29 * cos(81)
Using a calculator, we get:
adjacent ≈ 5.9
Therefore, the ladder reaches up to the side of the building at a height of about 5.9 feet. Rounded to one decimal place, the answer is 5.9 ft.
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Mr.Miller spends an hour and a half working in his garden . Which number line can show the time he spends working in his garden ?
Answers
Answer:
Top left because its 3:15-4:45
Step-by-step explanation:
Answer:
the top left one
Step-by-step explanation:
each line represents 15 minutes
it starts at 3:15 and end at 4:45 and there is a 1 and a half hour difference between these two times
A two-sample t-test for a difference in means will be conducted to investigate whether the average length of a cell phone call is shorter this year compared with 5 years ago. From a random sample of 35 phone call records this year, the average length was 25 minutes with a standard deviation of 4 minutes. From a random sample of 32 phone call records from 5 years ago, the average length was 27 minutes with a standard deviation of 5 minutes. The difference (this year minus five years ago) in means will be calculated With a null hypothesis of no difference in length, which of the following is a correct test statistic for the test?
A. t = 25-27/(√4^2/35+5^2/32)
B. t = 25-27/(√4/35+5/32)
C. t = 25-27/(√4^2/35+√5^2/32)
D. t = 27-25/(√4^2/35+5^2/32)
E. t = 27-25/(√4/35+5/32)
Answers
The correct test statistic is: A. t = (25-27)/(√4²/35+5²/32)
What is test statistic?
The correct test statistic for the two-sample t-test is:
t = (x1 - x2) / √[s1²/n1 + s2²/n2]
where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.
Using the given values, we have:
x1 = 25, x2 = 27, s1 = 4, s2 = 5, n1 = 35, n2 = 32
Substituting these values into the formula, we get:
t = (25 - 27) / √[(4²/35) + (5²/32)]
Simplifying, we get:
t = -2 / √[0.4632 + 0.7813]
t ≈ -2.64
Therefore, the correct test statistic is:
A. t = (25-27)/(√4²/35+5²/32)
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I am greater than 6 if you multiply me with 6 I become 42 what number am i
Answers
Answer:
7 you would times 6 by 7 to get 42
Answer:
Step-by-step explanation:
Product is 42 after you multiply by
Here you do the reverse:
42 ÷ 6 =
7 is greater than 6 therefore your answer is
How do you simplify the expression (x^2 - 4)/(x + 2)?
Answers
Answer:
x^2-4-8
Step-by-step explanation:
x^2-4(x+2)
x^2-4x-8
what is the distance from (-4, 0) to (2, 5) round your answer to the nearest hundreth
Answers
Round the 2 to get 7.81
What happened to the owl who swallowed a watch
Answers
Answer:WAIT HE IS TELLING THE TIME
Step-by-step explanation:
$18 for 3 bracelets; $30 for 5 bracelets
Answers
Step-by-step explanation:
I don't have my wallet on me. Tho could you further explain?
help me pleasee, my brain won't work
Answers
The given fractions have equal value, so Liam is correct.
How to find the equivalent fractions?Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.
Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.
Thus, we can say that:
The fraction -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.
The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient
The fractions have equal value, so Liam is correct
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Is 4.887888 a rational number
Answers
Answer:
Step-by-step explanation:
yes it is
A block leaves a frictionless inclined surface horizontally after dropping off by a height h. Find the horizontal distance d where it will land on the floor, if h = 6. 2 m and h = 3. 1 m
Answers
The corresponding horizontal distance (d) covered by the block is: d = v * t
To find the horizontal distance (d) where the block will land on the floor after dropping from a certain height (h), we can use the equations of motion and principles of projectile motion.
The key principle we'll use is that when an object is launched horizontally, its vertical motion is influenced by gravity alone, while its horizontal motion remains uniform.
Let's calculate the value of d for two different heights:
When h = 6.2 m:
The formula to calculate the time taken (t) for an object to fall from a certain height is given by:
h = (1/2) * g * t^2
Solving for t:
t^2 = (2 * h) / g
t^2 = (2 * 6.2) / 9.8
t^2 = 1.264
t ≈ 1.124 seconds
Now, the horizontal distance (d) covered by the block is given by:
d = v * t, where v is the horizontal component of velocity.
Since the block leaves the inclined surface horizontally, the horizontal component of velocity is constant throughout and doesn't change due to gravity.
Therefore, d = v * t.
When h = 3.1 m:
We can use the same approach as above to calculate the time taken (t):
t^2 = (2 * 3.1) / 9.8
t^2 ≈ 0.632
t ≈ 0.795 seconds
And the corresponding horizontal distance (d) covered by the block is:
d = v * t
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two forces with magnitudes of 300 pounds and 500 pounds act on an object at angles of 60° and - 45° respectively, with the positive x-axis. find the magnitude and direction of the resultant force
Answers
The magnitude of the resultant force can be found using the law of cosines, and it is approximately 692 pounds.
The direction of the resultant force can be found using the law of sines, and it is approximately 14.6° with respect to the positive x-axis
To find the magnitude of the resultant force, we can use the law of cosines. The law of cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of their magnitudes and the cosine of the included angle.
In this case, the two sides are the magnitudes of the given forces (300 pounds and 500 pounds), and the included angle is the angle between the forces.
Applying the law of cosines, we have: Resultant force^2 = 300^2 + 500^2 - 2 * 300 * 500 * cos(60° - (-45°))
Calculating this equation, we find that the resultant force^2 is approximately equal to 479,200 pounds^2. Taking the square root of this value, we get the magnitude of the resultant force, which is approximately 692 pounds.
To find the direction of the resultant force, we can use the law of sines. The law of sines states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.
In this case, the sides are the magnitudes of the forces, and the opposite angles are the angles between the forces and the positive x-axis.
Applying the law of sines, we have: (sin θ) / 500 = (sin 60°) / Resultant force
Solving for θ, we find that sin θ is equal to (sin 60°) / (Resultant force / 500). Calculating this equation, we get sin θ is approximately 0.250.
Taking the inverse sine of this value, we find that θ is approximately 14.6°. Therefore, the direction of the resultant force is approximately 14.6° with respect to the positive x-axis.
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Simplify the expression (4x+22x)/(2x)
Answers
Answer:
The answer is 13.
Step-by-step explanation:
here, ( 4x+ 22x)/2x
taking 2x common we get, 2x(2+11)/2x
=13 ..... is answer ( as 2x gets cancelled)
Hope it helps..
Solve for x in the equation x2-10x+25= 35-
X=5+2√ √5
O x=5± √√35
x=10+2√√/5
x = 10+ √√√35
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Answers
The solution of the quadratic equation is x=5±√35 .
A quadratic equation is given by the equation which can be written in the form ax²+bx +c.
There are two solution of x for a quadratic equation. the graph of a quadratic equation is in the shape of a parabola in the cartesian plane.To solve a quadratic equation various methods are used:Completing of squaresMiddle term factorizationusing the quadratic formulathe given quadratic equation is :
x²-10x+25=35
Simplifying the equation we get:
or, x²-10x+25-35=0
or, x²-10x-10=0
Now we will solve the equation by completion squares method:
x²-10x-10=0
or, x²-2×x×5+5²-5²-10=0
or, (x-5)²=35
or, x-5=±√35
or, x= 5±√35
Therefore the solution of the quadratic equation is 5+√35 and 5-√35 .
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