Roots of quadratic equation $2 x^{2} - 5 x - 3 = 0$ are

- 3, \frac{- 1}{2}

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3, \frac{1}{2}

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3, \frac{- 1}{2}

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- 3, \frac{1}{2}

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Solution

The correct option is C $3, \frac{- 1}{2}$
Given equation is :
$2 x^{2} - 5 x - 3 = 0$
$2 x^{2} - 6 x + x - 3 = 0$
$(x - 3) (2 x + 1) = 0$
$∴ x = \frac{- 1}{2}, 3$
$∴$ roots of the given equation are $3, \frac{- 1}{2}$

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