Find the product of roots of quadratic equation:
$a x^{2} + b x + c = 0$

a/c

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c/a

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-c/a

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None

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Solution

The correct option is B c/a
$α \times β = \frac{- b + \sqrt{b^{2} - 4 a c}}{2 a} \times \frac{- b + \sqrt{b^{2} - 4 a c}}{2 a}$

$= \frac{{(- b)}^{2} - {(\sqrt{b^{2} - 4 a c})}^{2}}{4 a^{2}} = \frac{b^{2} - b^{2} + 4 a c}{4 a^{2}}$

$= \frac{c}{a}$

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