Question
Find roots of polynomial $$ p(x) = 14x^2-37x+1200 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= \dfrac{ 37 }{ 28 }+\dfrac{\sqrt{ 65831 }}{ 28 }i\\[1 em]x_2 &= \dfrac{ 37 }{ 28 }- \dfrac{\sqrt{ 65831 }}{ 28 }i \end{aligned} $$Explanation
The solutions of $ 14x^2-37x+1200 = 0 $ are: $ x = \dfrac{ 37 }{ 28 }+\dfrac{\sqrt{ 65831 }}{ 28 }i ~ \text{and} ~ x = \dfrac{ 37 }{ 28 }-\dfrac{\sqrt{ 65831 }}{ 28 }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