Question

The positive difference between two consecutive even perfect squares is 268. Compute the larger of the two squares.

Answer 1

68

Explanation:

Take x represent the integers

(x+2)² -x² = 268

(x+2)(x+2) -(x*x)=268

x²+4x+4-x²=268

x²-x²+4x+4=268

4x+4=268

4x=268-4

4x=264

x=264÷4

x=66

x+2= 68