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Quadratic Formula

Roots of quad...

Question

Roots of quadratic equation $3 x^{2} + 34 x + 11 = 0$ are

11, \frac{- 1}{3}

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

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- 11, \frac{1}{3}

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11, \frac{1}{3}

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Solution

The correct option is A $- 11, \frac{- 1}{3}$
Given equation is

$3 x^{2} + 34 x + 11 = 0$
$3 x^{2} + 33 x + x + 11 = 0$
$(3 x + 1) (x + 11) = 0$
$∴ x = - 11, \frac{- 1}{3}$
$∴$ roots of the given equation are $- 11, \frac{- 1}{3}$

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