Find roots of polynomial $$ p(x) = -10+x+5x^2 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.3177\\[1 em]x_2 &= -1.5177 \end{aligned} $$Explanation
Step 1:
Write polynomial in descending order
$$ \begin{aligned} -10+x+5x^2 & = 0\\[1 em] 5x^2+x-10 & = 0 \end{aligned} $$Step 2:
The solutions of $ 5x^2+x-10 = 0 $ are: $ x = -\dfrac{ 1 }{ 10 }-\dfrac{\sqrt{ 201 }}{ 10 } ~ \text{and} ~ x = -\dfrac{ 1 }{ 10 }+\dfrac{\sqrt{ 201 }}{ 10 }$.
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