How do I solve this?

Question

One integer is 4 less than another. The sum of their squares is 170 . Find the integers.

Answer 1

X=Y-4

X^2 + Y^2 = 170

(Y-4)^2 + Y^2 = 170

Y^2-8Y+16 + Y^2 = 170

2Y^2 - 8Y -154 = 0

Y^2 -4Y - 77 = 0

(Y-11)(Y+7) = 0

Y= 11 or -7

X=11-4 or -7-4 = 7 or -11

The two numbers are either 11 and 7 or -7 and -11