SOLUTION: The product of two consecutive even intergers is 360. Find the intergers.

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Question 113493: The product of two consecutive even intergers is 360. Find the intergers.
Found 2 solutions by Adam, MathLover1:
Answer by Adam(64) (Show Source):
You can put this solution on YOUR website!
I suppose that by sonsecutive you mean consecutive in terms of even nubers.Then we are looking for two numbers 2n and 2n+2 whoose product should be 360. Thus we have 2n*(2n+2) = 360.We could solve for n now, but we are not interested in n we need to know, what 2n equals. So we'll make substitution 2n = x, concluding with x*(x+2)=360. This can be easily solved for x, which yields two solutions 18 and -20. By adding +2 we have second numbers 20 and -18.
That means there are two pairs of numbers possible =>
18 : 20
-18 : -20
Adam

Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!

The product of two intergers is .
let first one be , and second one be
given:

.....use square root formula

............one slution

..........the other slution

check both solutions:
if , then second integer will be which is
let's check their product:

...........

if , then second integer will be which is
let's check their product:

............in both cases we have correct answer
so, your integers are:
1. and
2. and