SOLUTION: if the product of two consecutive even number is 288. find the number.

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Question 766809: if the product of two consecutive even number is 288. find the number.
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
Let the numbers be n and n+2
Product = 288
n%2A%28n%2B2%29+=+288
n%5E2+%2B+2%2An+-+288+=+0

Factorizing
n%5E2+%2B+18%2An+-+16%2An+-+288+=+0

n%2A%28n%2B18%29+-+16%2A%28n%2B18%29+=+0

%28n-16%29%2A%28n%2B18%29+=+0

n = 16 or n = -18

So the two consecutive even numbers are {16, 18} or {-16,-18}

:)