SOLUTION: find all possible value of n for which the equation x^2+x-n=0 has integral solution.

SOLUTION: find all possible value of n for which the equation x^2+x-n=0 has integral solution.

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Question 329890: find all possible value of n for which the equation x^2+x-n=0 has integral solution.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Look for solutions that look like,
where a and b are integers.
Using the FOIL method,

Comparing,
1.
2.
From eq. 1,

Substituting into eq. 2,

where a is any integer.
.
.
.
Two examples:
,,

solutions:,
.
.
.
,,

solutions:,
.
.
.
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