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Nature of Roots

If the equati...

Question

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

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 C $3, 5$

For equal roots, we have $D = 0$
Since, $x^{2} - 2 m x + 8 m - 15$
$∴$ $4 m^{2} - 4 (8 m - 15) = 0$
$m^{2} - 8 m + 15 = 0$
$(m - 5) (m - 3) = 0$
$m = 3, 5$ .

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