Question

The difference of the squares of two positive consecutive even integers is 7676. find the integers. use the fact​ that, if x represents an even​ integer, then xplus+2 represents the next consecutive even integer.

Answer 1

Equation is (x+2)^2 - x^2 = 7676
solve the equation by first opening the bracket of (x+2)^2 by A^2 + 2AB +C^2 

you'll end up with 4x + 4 = 7672
thus x = 1918 and the next number is 1920.