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Nature of Roots

The equation ...

Question

The equation $6 x^{2} + 2 x = 0$ has

only one integer root

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only one irrational root

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only one rational root

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two rational roots

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Solution

The correct option is D two rational roots
$6 x^{2} + 2 x = 0$
$\Rightarrow 2 x (3 x + 1) = 0$
$\Rightarrow x = - \frac{1}{3}, 0$
So both roots are rational but only one is an integer

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