Find roots of polynomial $$ p(x) = 10-14x+4x^2 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= \frac{ 5 }{ 2 }\\[1 em]x_2 &= 1 \end{aligned} $$Explanation
Step 1:
Write polynomial in descending order
$$ \begin{aligned} 10-14x+4x^2 & = 0\\[1 em] 4x^2-14x+10 & = 0 \end{aligned} $$Step 2:
The solutions of $ 4x^2-14x+10 = 0 $ are: $ x = 1 ~ \text{and} ~ x = \dfrac{ 5 }{ 2 }$.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.
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