Question

The sum of the squares of two numbers is 225 . If one of the numbers is greater than the other one by 3 , find the two numbers

Answer 1

Two number: (9 , 12) or (-9 , -12)

Explanation:

x² + (x+3)² = 225

2x² + 6x + 9 = 225

2x² + 6x + 216 = 0

2 (x² + 3x + 108) = 0

2 ( x-9) (x+12) = 0

x = 9 or x = -12

Two number: (9 , 12) or (-9 , -12)