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Hey everyone, so I have to find the roots of the equation (in decimal form) of this equation: \(\frac{1}{2}{x}^{3}+{x}^{2}-32x-20\), but I'm unsure how to do it. Normally I would just factor this to get a quadratic, but I can't do that with this equation. All the methods I've found online seem beyond my skills, I'm only in grade 11. I have a hint which says: "It will not be possible to find roots by inspection and you need to be resourceful here!".

 

Thank you for your help!

 Feb 13, 2021
 #1
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Have you tried a graphing of the equation ?

 

 Feb 13, 2021
 #2
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Thank you guest, but this is actually a small part of a larger question, so I can't use graphing to solve this.

Guest Feb 13, 2021
 #3
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Unless you are familiar with the standard formula for the solution of a cubic equation, you will need to use a numerical method here, such as the following:

 Feb 14, 2021

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