Question

The product of two consecutive even integers is 48.

Find the numbers.
Let x be the 1steven integer Let x+2 be the 2nd even integer
Equation: (__) ( __ + __)= ___​

Answer 1

x(x + 2) = 48

x^2 + 2x - 48 = 0

(x - 8)(x + 6) = 0

x = -8, so x + 2 = -6

x = 6, so x + 2 = 8

The numbers are -8 and -6, or 6 and 8.