A cubic equation $x^3-6x^2+3x+10=0$, the solution are $\{ -1, 2, 5 \}$. Please use Cardano’formula (it was represented in mathworld) to evaluate the cubic equation’s solution. I’m not familiar with complex number, please show me more steps. Thanks!
Asked
Active
Viewed 77 times
1
-
1The first step is usually to eliminate the quadratic term by switching to $x = t + 2,$ so define the new variable $t = x - 2$ and continue. – Will Jagy Feb 07 '20 at 03:34
-
@WillJagy thanks. $a_2=-6,a_1=3,a_0=10$, use these values, I get $D=-27,R=0, S=\sqrt[3]{\sqrt{-27}},{\ }S$ is cubic root expression, I understand Cardano’s formula, but I’m not familiar with complex number, please give me steps. – mathisbeauty Feb 07 '20 at 04:05