Question

The product of two consecutive odd integers is 63. What are the integers? Use a quadratic equation to solve for the integers.

Answer 1

Let n, n+2, and n+4 represent the three consecutive even integers.

Answer 2

The integers are odd. Let the integers are

`2n+1, 2n+3`

And the given product is 63 .

That is

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Dividing whole equation by 4

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When n = -5, numbers are

`2(-5)+1 , 2(-5)+3 = -9, -7`

When n =3, we will get

`2(3)+1 , 2(3) + 3 = 7, 9`