Solve $x^{2} - 5 x + 10 = 0$

\frac{(5 - \sqrt{6} 5)}{2}

\frac{(5 + \sqrt{6} 5)}{2}

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\frac{(5 - i \sqrt{6} 5)}{2}

\frac{(5 + i \sqrt{6} 5)}{2}

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\frac{(5 - i \sqrt{1} 5)}{2}

\frac{(5 + i \sqrt{1} 5)}{2}

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\frac{(5 - \sqrt{1} 5)}{2}

\frac{(5 + \sqrt{1} 5)}{2}

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Solution

The correct option is C $\frac{(5 - i \sqrt{1} 5)}{2}$ , $\frac{(5 + i \sqrt{1} 5)}{2}$
$x^{2} - 5 x + 10 = 0 a = 1, b = - 5, c = 10 x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2} x = \frac{5 \pm \sqrt{25 - 40}}{2} x = \frac{5 \pm i \sqrt{15}}{2}$

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