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Zeroes of a Polynomial

Solve the fol...

Question

Solve the following quadratic equation by factorization and find its root :
$6 x^{2} - x - 2 = 0$

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Solution

$6 x^{2} - x - 2 = 0$

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

$2 x (3 x - 2) + (3 x - 2) = 0$

$(2 x + 1) (3 x - 2) = 0$

$x = \frac{- 1}{2}, \frac{2}{3}$ .

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