Solve

$x^{2} - x + 2 = 0$

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Solution

Here $x^{2} - x + 2 = 0$

Comparing the given quadratic equation with

$a x^{2} + b x + c = 0$ we have

$a = 1, b = - 1$ and $c = 2$

$∴ x = \frac{- 1 (- 1) \pm \sqrt{(- 1)^{2} - 4 \times 1 \times 2}}{2 \times 1}$

$= \frac{1 \pm \sqrt{- 7}}{2} = \frac{1 \pm \sqrt{7} i}{2}$

Thus $x = \frac{1 + \sqrt{7} i}{2}$ and $x = \frac{1 - \sqrt{7} i}{2}$

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