SOLUTION: If x^2 = 1-x, find the value of the integers a and b if x^4 = ax + b

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Question 1117325: If x^2 = 1-x, find the value of the integers a and b if x^4 = ax + b
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
x^4 = ax +b
:
x^2 * x^2 = ax +b
:
(1-x) * (1-x) = ax +b
:
1 -2x +x^2 = ax +b
:
1 -2x +1 -x = ax +b
:
-3x +2 = ax +b
:
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a = -3 and b = 2
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