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Nature of Roots

The equation ...

Question

The equation $- 7 x^{2} + 3 = 0$ has

A

two rational roots

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B

two irrational roots

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C

no real roots

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D

only one irrational root

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Solution

The correct option is B two irrational roots
$- 7 x^{2} + 3 = 0$
$\Rightarrow 7 x^{2} = 3$
$\Rightarrow x = \pm \sqrt{\frac{3}{7}}$
So both the roots of the equation are irrational

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Nature of Roots

Standard XIII Mathematics

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