Find the value of m for which the roots of the quadratic equation $m x (6 x + 10) + 25 = 0$ , are equal

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Solution

$m x (6 x + 10) + 25 = 0$
$6 m x^{2} + 10 m x + 25 = 0$
Roots are equal so $D = 0$
${10 m}^{2} - 4.25 (6 m) = 0$
$m^{2} - 6 m = 0$
$m (m - 6) = 0$
$∴ m = 6$

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