SOLUTION: The product of two consecutive positive odd integers is one less than twice their sum. Find the integers.

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Question 301632: The product of two consecutive positive odd integers is one less than twice their sum. Find the integers.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let N and N+2 be your odd integers.
N%28N%2B2%29=2%28N%2BN%2B2%29-1
N%5E2%2B2N=2%282N%2B2%29-1
N%5E2%2B2N=4N%2B3
N%5E2-2N-3=0
%28N-3%29%28N%2B1%29=0
Since we're only looking for the positive answer, we won't solve the negative solution.
N-3=0
N=3
The two integers are then 3 and 5.
Verify the solution by using the original equation.