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

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

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

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

x³ + 3x² + x + 1 = 0 .

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

Expert Solution

Colby Messinger answered 2 years ago

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

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