SOLUTION: Please help me solve this equation: {{{x^9+2x^8+x^7+6x^6+7x^5-2x^4+3x^3+2x^2-12x-8=0}}}
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Question 762754: Please help me solve this equation:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The only way to solve this (or any other polynomial equation of degree 5 or greater) is by numerical approximation. I graphed it and saw that there is a root very near -2, possible multiple roots at -1, and a root at 1.
A little polynomial long division gets you to the following result:
^3(x\ -\ 1)(x\ +\ 2)(x^4\ -\ 2x^3\ +\ 5x\ -\ 4x\ +\ 4)\ =\ 0)
Plugging the coefficients of the quartic factor into an on-line Quartic Solver, I got the following results:
0.5 + 1.323 i
0.5 - 1.323 i
0.5 + 1.323 i
0.5 - 1.323 i
One pair of complex conjugates with a multiplicity of 2.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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