SOLUTION: find three consecutive od integers such that the produt of the two smaller exceeds the largest by 52.

Question 710778: find three consecutive od integers such that the produt of the two smaller exceeds the largest by 52.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Odd Integers: 2n+1, 2n+3, 2n+5.

(2n+1)(2n+3)-(2n+5)=52
Find n.

4n^2+8n+3-2n-5=52
4n^2+6n=52-3+5
4n^2+6n-54=0
2n^2+3n-27=0
.
Using the quadratic formula solution,

I checked over this about three times, and if n is the value as found, the question has no solution. n must be integer, but clearly is is not.
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