Question

If the product of two consecutive even integers is 224 , then find the integers .
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Answer 1

Answer:

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Step-by-step explanation:

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.

Answer 2

Answer:

let one integer be x

therefore other integer= x+2

now, according to question,

(X)(X+2)=224

x²+2x-224=0

x²+16x-14x-224=0

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

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

therefore the even integers are 14 and 16 or -14 and -16

hope this helps

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