-x^3+2x^2-x-2=0 How to solve it ??

2016-01-29 12:12 am

回答 (2)

2016-01-29 1:04 am
First, check to see that you typed it correctly. If one of the minus signs is supposed to be plus, then you can factor by grouping and reduce a binomial times a quadratic. The problem you typed doesn't have any rational solutions, (the rational root test will verify that none of {-2, -1, 1, 2} is a root) so you can either dive into the Tartaglia/Cardano method to find an exact solution in terms of radicals (cube roots of quadratic surds), or use something like Newton's method to find a close numerical approximation of the one real root.
2016-01-29 12:48 am
-x^3+2x^2-x-2=0=>
x^3+2x^2+x+2=0=>
(x^2)(x+2)+(x+2)=0=>
(x+2)(x^2+1)=0=>
x=-2 or x=+/-i


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