Question

The product of two consecutive even integers is 224. Find their sum.

Answer 1

• 14 and 16

,

• -16 and -14.

Step-by-step explanation:

Let the smaller of the two consecutive even integers = x

The larger of the two consecutive even integers = x+2

We are told that their product is 224, therefore:

We solve the resulting quadratic equation for x.

Therefore, the two consecutive even integers are:

• 14 and 16

,

• -16 and -14.

,

•

Answer 2

x(x+2)=224x2+2x-224=0(x+16)(x-14) =0x= 16 or 14
the answer is 16 and 14