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Solving a Quadratic Equation by Factorization Method

The positive ...

Question

The positive value of 'm' for which (m + 4)x² - 2mx + (m - 3) = 0 has equal roots is

A

12

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B

15

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C

18

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D

14

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Solution

The correct option is A
12

For the equation to have rqual roots,
$D i s c r i m i n a n t = 0$
$(- 2 m)^{2} - 4 (m + 4) (m - 3) = 0$
$4 m^{2} - 4 (m^{2} + m - 12) = 0$
$m^{2} - m^{2} - m + 12 = 0$
$m = 12$

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