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x^2-x+1=0

Solve the equation -1x+1+x^2=0

Answer

$x_1=0.5+0.866i,\:x_2=0.5-0.866i$

Step-by-step explanation

Problem

$x^2-x+1=0$
1

To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where $a=1$, $b=-1$ and $c=1$

$x =\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

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Answer

$x_1=0.5+0.866i,\:x_2=0.5-0.866i$