If one of the roots of a quadratic equation is 5 and the product of their roots is -165, then the quadratic equation is :

$x^{2} - 28 x - 165 = 0$

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$x^{2} + 28 x + 165 = 0$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$x^{2} - 28 x + 165 = 0$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$x^{2} + 28 x - 165 = 0$

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Solution

The correct option is D
$x^{2} + 28 x - 165 = 0$

Given: one root = 5, product of the roots = -165
$5 \times o t h e r r o o t = - 165$
$\Rightarrow o t h e r r o o t = - 33$

The required quadratic equation is $(x - 5) (x + 33) = 0$

$\Rightarrow x^{2} - 5 x + 33 x - 165 = 0$

$\Rightarrow x^{2} + 28 x - 165 = 0$

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