Find roots of polynomial $$ p(x) = 5x^2-56x+160 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= \frac{ 28 }{ 5 }+\frac{ 4 }{ 5 }i\\[1 em]x_2 &= \frac{ 28 }{ 5 }-\frac{ 4 }{ 5 }i \end{aligned} $$Explanation
The solutions of $ 5x^2-56x+160 = 0 $ are: $ x = \dfrac{ 28 }{ 5 }+\dfrac{ 4 }{ 5 }i ~ \text{and} ~ x = \dfrac{ 28 }{ 5 }-\dfrac{ 4 }{ 5 }i$.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.
This page was created using
Polynomial Roots Calculator