algebra intergers

Question

the product of two consecutive intergers is 6 less than 3 times the sum

Answer 1

The problem only works if the integers are consecutive even integers. 

 

Let x = the smaller integer

Let x + 2 = the larger integer

x(x + 2) = 3(x + x + 2) - 6

x² + 2x = 3(2x + 2) - 6

x² + 2x = 6x + 6 - 6

x² - 4x = 0

x(x - 4) = 0

x = 0       or     x = 4

                        x + 2 = 6