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Find all the roots of the polynomial f(x) = x^4-5x^3+5x^2+17x-42 - x^4 + 5x^3 - 4x^2 - 16x + 20.

 Dec 15, 2021
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x4 - 5x3 + 5x2 + 17x - 42 - x4 + 5x3 - 4x2 - 16x + 20

= x4 - x4 - 5x3 + 5x3 + 5x2 - 4x2 + 17x - 16x - 42 + 20

= x2 + x - 22

 

\(x = \frac{-1 + \sqrt{89}}{2}\)

\(x = \frac{-1 - \sqrt{89}}{2} \)

 Dec 15, 2021

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