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Quadratic Formula

Solve x2-5x...

Question

Solve $x^{2} - 5 x + 7 = 0$

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Solution

$x^{2} - x - 1 = 0$
Here $a = 1, b = - 5, c = 7$
So, $x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a} \frac{5 \pm \sqrt{25 - 28}}{2} \frac{1 \pm \sqrt{3} i}{2}$

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