Find roots of polynomial $$ p(x) = 4x^2+4x+17 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -\frac{ 1 }{ 2 }+2i\\[1 em]x_2 &= -\frac{ 1 }{ 2 }-2i \end{aligned} $$Explanation
The solutions of $ 4x^2+4x+17 = 0 $ are: $ x = -\dfrac{ 1 }{ 2 }+2i ~ \text{and} ~ x = -\dfrac{ 1 }{ 2 }-2i$.
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