Tuesday, 25 February 2014

complex numbers - Find the roots of the polynomial? (Cardano's Method)

$y^3-\frac7{12}y-\frac7{216}$



This is part of Cardano's method, so I've gotten my first root to be:




$y_1=\sqrt[3]{\frac7{432}+i\sqrt{\frac{49}{6912}}}+\sqrt[3]{\frac7{432}-i\sqrt{\frac{49}{6912}}}$



I am at a loss on how to evaluate this. I know this is one of three real roots, but I don't know what to do now.

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