Question
Find roots of polynomial $$ p(x) = 4x-6x^2+5 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.3052\\[1 em]x_2 &= -0.6385 \end{aligned} $$Explanation
Step 1:
Write polynomial in descending order
$$ \begin{aligned} 4x-6x^2+5 & = 0\\[1 em] -6x^2+4x+5 & = 0 \end{aligned} $$Step 2:
The solutions of $ -6x^2+4x+5 = 0 $ are: $ x = \dfrac{ 1 }{ 3 }-\dfrac{\sqrt{ 34 }}{ 6 } ~ \text{and} ~ x = \dfrac{ 1 }{ 3 }+\dfrac{\sqrt{ 34 }}{ 6 }$.
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