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Cardano's rule gives one root for the solution of a depressed cubic. a. How does this solve...

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Advance Math

Cardano's rule gives one root for the solutionof a depressed cubic.

a. How does this solve the problem of findingall the roots of the depressed cubic equation?


b. Obtain the depressed cubic that results fromthe following cubic equation:

x3 +3x2 + x + 1 = 0 .


c. Now use Cardano's rule to solve your resultingdepressed cubic. Don’t expect a pretty answer!

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