Find roots of polynomial $$ p(x) = -1000x^3+2200-800x $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.0975\\[1 em]x_2 &= -0.5488+1.3051i\\[1 em]x_3 &= -0.5488-1.3051i \end{aligned} $$Explanation
Step 1:
Write polynomial in descending order
$$ \begin{aligned} -1000x^3+2200-800x & = 0\\[1 em] -1000x^3-800x+2200 & = 0 \end{aligned} $$Step 2:
Polynomial $ -1000x^3-800x+2200 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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