The equation $2 x^{2} + 3 x + 1 = 0$ has

two rational roots.

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two irrational roots.

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integral roots.

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none of these

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Solution

The correct option is D two rational roots.
$2 x^{2} + 3 x + 1 = 0$
$2 x^{2} + 2 x + x + 1 = 0$
$\Rightarrow 2 x (x + 1) + (x + 1) = 0$
$\Rightarrow (2 x + 1) (x + 1) = 0$
$\Rightarrow x = - 1, \frac{- 1}{2}$
Therefore, roots are rational.
Ans: A

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