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Introduction

If the roots ...

Question

If the roots of the equation $x^{2} - 15 - m (2 x - 8) = 0$ are equal, then $m =$

3, - 5

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3, 5

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- 3, 5

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- 3, - 5

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Solution

The correct option is A $3, 5$
$x^{2} - 15 - 2 m x + 8 m = 0$
$x^{2} - 2 m x + 8 m - 15 = 0$
Since the roots are equal, hence the discriminant has to be 0.
Or
$B^{2} = 4 A C$
$4 m^{2} = 4 (8 m - 15)$
$m^{2} - 8 m + 15 = 0$
$(m - 5) (m - 3) = 0$
$m = 3, 5$ .

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