SOLUTION: find two consecutive odd numbers such that the sum of their squares is 32 more than twice the square of the smaller number

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Question 1166943: find two consecutive odd numbers such that the sum of their squares is 32 more than twice the square of the smaller number
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Let the two consecutive odd numbers be n and n+2. Then

n%5E2%2B%28n%2B2%29%5E2+=+2n%5E2%2B32

Easily solved using basic algebra; I'll get you started.

%28n%2B2%29%5E2+=+n%5E2%2B32
n%5E2%2B4n%2B4+=+n%5E2%2B32

Should be easy from there....