Find roots of polynomial $$ p(x) = 5x-12x^2+3 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= \frac{ 3 }{ 4 }\\[1 em]x_2 &= -\frac{ 1 }{ 3 } \end{aligned} $$Explanation
Step 1:
Write polynomial in descending order
$$ \begin{aligned} 5x-12x^2+3 & = 0\\[1 em] -12x^2+5x+3 & = 0 \end{aligned} $$Step 2:
The solutions of $ -12x^2+5x+3 = 0 $ are: $ x = -\dfrac{ 1 }{ 3 } ~ \text{and} ~ x = \dfrac{ 3 }{ 4 }$.
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