Question

Two numbers differ by 7, and the sum of their squares is 29. Find the numbers.

280

likes

1400 views

Answer to a math question Two numbers differ by 7, and the sum of their squares is 29. Find the numbers.

$Expert avatar$

Rasheed

4.7

109 Answers

let numbers are x and y. then x-y=7...............(1) and x^2+y^2=29 From (1), \left(x-y\right)^2=49 x^2+y^2-2xy=49 29-2xy=49 xy=-10 then y=-10/x, Now from (1), x+\frac{10}{x}=7 x^2-7x+10=0 so x=2,5, then y=-5,-2 So the numbers are 2,-5 or 5,-2

Frequently asked questions (FAQs)

Math question: Find the radius, given that the equation of a circle is x^2 + y^2 = r^2. (Hint: Identify the constant term.)

Math question: For the parabola function 𝑦 = 2𝑥^2, what is the vertex and axis of symmetry?

Math question: In how many ways can a committee of 3 students be selected from a group of 8?

New questions in Mathematics

Let the vectors be u=(-1,0,2) , v=(0,2,-3) , w=(2,2,3) Calculate the following expressions a)<u,w> b) <2u- 5v,3w>

A person who weighs 200 pounds on earth would weigh about 32 pounds on the moon. Find the weight of a person on earth who would weigh 15 pounds on the moon.

A hotel in the Algarve had to offer 1 week of vacation to one of its employees as an Easter gift in a random choice. It is known that 80 people work in this hotel, 41 of whom are Portuguese and 39 are foreign nationals. There are 14 Portuguese men and 23 foreign women. Using what you know about conditional probability, check the probability that the gift was offered to a Portuguese citizen, knowing that it was a woman.

Imagine that you are in an electronics store and you want to calculate the final price of a product after applying a discount. The product you are interested in has an original price of $1000 MN, but, for today, the store offers a 25% discount on all its products. Develop an algorithm that allows you to calculate the final price you will pay, but first point out the elements.

Kayla has $8,836.00 in her savings account. The bank gives Kayla 5%of the amount of money in account as a customer bonus. What amount of money does the bank give Kayla? Justify your answer on a 6th grade level.

58+861-87

is the x element (180,270), if tanx-3cotx=2, sinx ?

If you randomly selected one person from the 900 subjects in this study, what is the probability that the person exhibits the minimum BMI?

A merchant can sell 20 electric shavers a day at a price of 25 each, but he can sell 30 if he sets a price of 20 for each electric shaver. Determine the demand equation, assuming it is linear. Consider (P= price, X= quantity demanded)

Substitute a=2 and b=-3 and c=-4 to evaluate 2ac/(-2b^2-a)

Log5 625

7=-4/3y -1

P(Z<z)=0.1003

The two sides of the triangle are 12 cm and 5 cm, and the angle between the sides is 60°. Cover the area of the triangle!

If the regression equation is given by 4x –y + 5 = 0, then the slope of regression line of y on x is

For what values of m is point P (m, 1 - 2m) in the 2⁰ quadrant?

The mass of 120 molecules of X2C4 is 9127.2 amu. Identify the unknown atom, X, by finding the atomic mass. The atomic mass of C is 12.01 amu/atom

2.3 X 0.8

the length of the fenced in area is to be 5 ft greater than the width and the total amount of fencing to be used is 89 ft find the width and length

(3.1x10^3g^2)/(4.56x10^2g)

Two numbers differ by 7, and the sum of their squares is 29. Find the numbers.

Answer to a math question Two numbers differ by 7, and the sum of their squares is 29. Find the numbers.

You might be interested in