Question 710778
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=(-3+sqrt(117))/4}}}


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.