Question

The product of two consecutive even integers is 360. find the integers.

Answer 1

Let the integers be x and x + 2, provided x is even.

x(x + 2) = 360
x² + 2x = 360
x² + 2x - 360 = 0
(x - 18)(x + 20) = 0

x = 18, or x = -20
Thus, the integers are: 18 and 20, or -20 and -18