Which of the following is/are the roots of the quadratic equation
$2 x^{2} + 5 x - 3 = 0$ ?

x = - 3

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\frac{1}{2}

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x = 3

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\frac{- 1}{2}

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Solution

The correct option is B $\frac{1}{2}$
Given the quadratic equation,
$2 x^{2} + 5 x - 3 = 0$
Using the factorization method,
$\Rightarrow 2 x^{2} + 6 x - x - 3 = 0$
$\Rightarrow (x + 3) (2 x - 1) = 0$
$\Rightarrow x + 3 = 0$ or $2 x - 1 = 0$
$\Rightarrow x = \frac{1}{2}$ or $x = - 3$

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