SOLUTION: The product of two consecutive odd integer is 11 more than twice their sum. Find the two integers.

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Question 1006797: The product of two consecutive odd integer is 11 more than twice their sum. Find the two integers.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
The integers, 2n+1, 2n+3;

The basic equation formed according to description, %282n%2B1%29%282n%2B3%29=11%2B2%28%282n%2B1%29%2B%282n%2B3%29%29

Work the algebra.
4n%5E2%2B8n%2B3=11%2B2%284n%2B4%29
4n%5E2%2B8n%2B3=11%2B8n%2B8
4n%5E2%2B3-11-8=0
4n%5E2-16=0
n%5E2-4=0

highlight%28n=-2%29 or highlight%28n=2%29;

The integers can be -3 and -1;
or
5 and 7.