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Quadratic Formula for Finding Roots

If ax2 + bx +...

Question

If $a x^{2} + b x + c = 0$ , then x =

$\frac{b \pm \sqrt{b^{2} - 4 a c}}{2 a}$

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$\frac{- b \pm \sqrt{b^{2} - a c}}{2 a}$

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$\frac{2 c}{- b \pm \sqrt{b^{2} - 4 a c}}$

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None of these

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Solution

The correct option is D
None of these

Try making perfect square the given equation by adding and subtracting $\frac{b^{2}}{4 a^{2}}$
on solving it we'll find
$x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$

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