SOLUTION: Hello. Can you please help me? I need to solve this equation.. x^6-9x^4-x^2+9=0 Thank you!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello. Can you please help me? I need to solve this equation.. x^6-9x^4-x^2+9=0 Thank you!      Log On


   

Question 398115: Hello. Can you please help me?
I need to solve this equation..
x^6-9x^4-x^2+9=0
Thank you!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve this equation..
x^6-9x^4-x^2+9=0
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Notice that the coefficients sum to zero.
So x = 1 is a root.
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Notice that the polynomial is symmetric to
the y-axis, so x = -1 is a root
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x= 3 and x = -3 are roots.
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There are 2 complex roots. Use synthetic
division to find the quadratic factor and
the quadratic formula to find the roots.
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Cheers,
Stan H.