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

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: find three consecutive od integers such that the produt of the two smaller exceeds the largest by 52.      Log On


   

Question 710778: find three consecutive od integers such that the produt of the two smaller exceeds the largest by 52.
Answer by josgarithmetic(39617) About Me  (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, n=%28-3%2Bsqrt%28117%29%29%2F4

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.