SOLUTION: Solve: x^4 – 10x + 9 = 0

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Question 1103122: Solve: x^4 – 10x + 9 = 0
Answer by greenestamps(13196) About Me  (Show Source):
You can put this solution on YOUR website!


The equation you show clearly has a root at x=1. The other roots are one irrational and a pair of complex roots.

I'm wondering, though, if the equation was supposed to be x^4-10x^2+9=0. That equation is easy to solve.

x%5E4-10x%5E2%2B9+=+0
%28x%5E2-9%29%28x%5E2-1%29+=+0
%28x%2B3%29%28x-3%29%28x%2B1%29%28x-1%29+=+0

The solutions are -3, 3, -1, and 1.