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

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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) About Me  (Show Source):
You can put this solution on YOUR website!
x² + x - c = 0
using the quadratic formula,
x+=+%28-1+%2B-+sqrt%28+1%2B4c+%29%29%2F2+
Let D = 1 + 4c
For integer solutions for x, we require sqrt%28D%29 must be odd.
.: D = odd*odd = odd
.: 1 + 4c = odd
4c = even
=> c = even
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