SOLUTION: If c is asn odd integer, the show that the equation x^2+x-c=0 has no integer solutions.

Question 32202: If c is asn odd integer, the show that the equation x^2+x-c=0 has no integer solutions.
Answer by Fermat(136) (Show Source): You can put this solution on YOUR website!
x� + x - c = 0
using the quadratic formula,

Let D = 1 + 4c
For integer solutions for x, we require must be odd.
.: D = odd*odd = odd
.: 1 + 4c = odd
4c = even
=> c = even
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