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Nature of Roots

Write the nat...

Question

Write the nature of roots of quadratic equation $4 x^{2} + 6 x + 3 = 0$

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Solution

According to question,

$4 x^{2} + 6 x + 3 = 0$

Discriminant, $D = \sqrt{6^{2} - 4 (4) (3)}$

$⟹ D = \sqrt{36 - 48}$

$⟹ D = \sqrt{- 16}$

So, Roots are imaginary

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