Find roots of polynomial $$ p(x) = x^3-5-4 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 2.0801\\[1 em]x_2 &= -1.04+1.8014i\\[1 em]x_3 &= -1.04-1.8014i \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ x^3 \color{blue}{-5} \color{blue}{-4} = x^3 \color{blue}{-9} $$Step 2:
Polynomial $ x^3-9 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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