The product of two consecutive even integers is 224. Find the integers

Question

The product of two consecutive even integers is 224. Find the integers

Answer 1

Let one integer be x, and the other be (x+2)

x(x+2)=224

x²+2x-224=0

(x+16)(x-14) =0

x=-16 or 14

 

so x+2 = -14 or 16

So the integers are either 14 and 16 or -14 and -16.