Reallybadatmath
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- Nov 24, 2017
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Hello Id just like to know if there is a way to solve polynomials that use x^3
Hello Id just like to know if there is a way to solve polynomials that use x^3
I'd like to supplement this very good answer.There are several ways to solve a cubic equation. Those that you would see in a math class usually can be solved either by factoring, or by the rational root theorem (which you can look up). Many can't be solved by these methods, but require more complicated methods or the "cubic formula". If you google "cubic equation", you can see explanations of these methods, e.g. on Wikipedia.
Unlike tkhunny, I see no reason not to use a formula that will give an exact answer that, if you own a decent calculator, can easily be reduced to a very accurate numerical approximation.
I am not being antagonistic. I am curious how you would use a calculator to get a highly accurate approximation of the roots of a cubic, perhaps Newton's method?You answered your own question. If you have a decent calculator, it will give you the "very accurate numerical approximation" without any need to see the relatively useless exact answer.
OP: Same for Quartic Equations. There is a general solution, but again, I would be stunned if you ever actually needed it. It's one of those do-it-once-so-that-you-believe things and then move on with your life and with your education.