The squares of two consecutive even numbers differ by 92. what are the numbers?

Question

idont know the answer?

Answer 1

Let the first number = x

It's consecutive even number x+2.

It's squre differ by 92.

x^2-(x+2)^2 = 92

x^2-(x^2+4+4x) = 92

x^2-x^2-4-4x = 92

-4-4x = 92

Add 4 to each side.

-4x = 92+4

-4x = 96

Divide to each side by negitive 4.

-4x/-4 = 96/-4

x = -24

Consecutive number is -24+2 = -22

The numbers are -24,-22.