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Roots of a Quadratic Equation

If the produc...

Question

If the product of the roots of the quadratic equation $m x^{2} - 2 x + (2 m - 1) = 0$ is $3$ , then the value of $m$ is

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Solution

The correct option is C $- 1$
$m x^{2} - 2 x + (2 m - 1) = 0$
Product of the roots is
$3 = \frac{2 m - 1}{m}$
$\Rightarrow 3 m = 2 m - 1 \Rightarrow m = - 1$

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