Find two consecutive even integers such that the square of the smaller is 10 more than the larger.

Answer 1

x and (x+2)

x^2 - 10 = x+2

x^2 - x - 12 = 0

(x -4)(x+3) = 0

try x = 4

then 4 and 6
16 - 10 = ? 6 yes that checks

Answer 2

Find two consecutive even integers such that the square of the smaller is 10
more than the larger