Question

The sum of squares of two consecutive odd numbers is 349 find the numbers

Answer 1

It will not be 349 it would be 394

numbers x and x + 2

(x)² + (x+2)² = 394

x² + x² + 4x + 4 - 394 = 0

2x² + 4x + 390

x² + 2x + 195 =0

x² + 15x - 13x + 195 =0

(x+15) (x-13)

x = 13, 15 are the numbers