Question

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

Vhat are the two numbers?

Answer 1

3 and 5

Explanation:

Two equations:

x+y = 8

x² + y² = 34

x+y=8

x=8-y

(8-y)² + y² = 34

64 - 16y + y² + y² = 34

2y² - 16y + 30= 0

y² - 8y +15 = 0

(y-3)(y-5)=0

y can be 3 or 5,

The numbers can be 3 and 5