The sum of two numbers is 8. The sum of the squares of the two numbers 15 34.

What are the two numbers?

Answer: 3 and 5

Step-by-step explanation:

5+3=8

3^2+5^2 = 9 + 25 = 34

Sum of the squares = 15 and 34

(A-b) ^2 = a^2+2ab+b^2

x^2+64-16x+x^2=34

Set equal to zero and then solve, factor it to find the roots.

(X-3) (x-5) = 0