Question

If the product of two consecutive even number is 224 find the number​

Answer 1

Let the first consecutive even number be x. The second one is going to be two more than x, and as such can be written as (x+2).

The product of these numbers, x and (x+2), is 224:

x(x+2)=224

x²+2x=224

x²+2x-224=0

(x+16)(x-14) =0 (could also use '-b' method)

x=-16 or 14

Therefore, (x+2) = -14 or 16

Therefore, the numbers are either 14 and 16, or -14 and -16

Answer 2

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.

Explanation:

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