Find roots of polynomial $$ p(x) = x^2-x-1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.618\\[1 em]x_2 &= -0.618 \end{aligned} $$Explanation
The solutions of $ x^2-x-1 = 0 $ are: $ x = \dfrac{ 1 }{ 2 }-\dfrac{\sqrt{ 5 }}{ 2 } ~ \text{and} ~ x = \dfrac{ 1 }{ 2 }+\dfrac{\sqrt{ 5 }}{ 2 }$.
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