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all possible roots for x^3-64=0

Guest Mar 24, 2017
 #1
avatar+17744 
+1

By inspection, you can show that  4  is a root.

Divide  x3 - 64  by  x - 4     --->     the quotient is  x2 + 4x + 16.

Use the quadratic formula on the quotient to get the two answers: -2 +/- 2·i·sqrt(3).

The three solutions are:  4,  -2 + 2·i·sqrt(3),  -2 - 2·i·sqrt(3).

geno3141  Mar 24, 2017

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