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Quadratic Formula

Solve the fol...

Question

Solve the following Quadratic Equation using the Standard Quadratic Formula. Will the equation have Real or Non Real roots?
$- 5 x^{2} + 3 x - 9 = - 2 x + 7$

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Solution

$- 5 x^{2} + 3 x - 9 = - 2 x + 7$
$5 x^{2} - 5 x + 16 = 0$
$x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$
$= \frac{- 5 \pm \sqrt{25 + 320}}{10}$
$= \frac{- 5 \pm \sqrt{295}}{10}$ (Non real roots)
$= \frac{- 5 \pm 7 i \sqrt{5}}{10}$

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