Solve x^2 - x + 2 = 0 - Vidyadip

Question

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

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Answer

Here $x^2 - x + 2 = 0$
Comparing the given quadratic equation with $ax^2 + bx + c = 0$ we have
a=1,b=-1and c = 2
$\therefore x = \frac{{ - (1) \pm \sqrt {{{(1)}^2} - 4 \times 1 \times 2} }}{{2 \times 1}}$$ = \frac{{1 \pm \sqrt { - 7} }}{2} = \frac{{1 \pm \sqrt 7 i}}{2}$
Thus $x = \frac{{1 + \sqrt 7 i}}{2}$ and $x = \frac{{1 - \sqrt 7 i}}{2}$

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