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Zeroes of a Polynomial

Solve the fol...

Question

Solve the following quadratic equation by factorisation.
$2 x^{2} - 2 x + \frac{1}{2} = 0$ .

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Solution

$2 x^{2} - 2 x + \frac{1}{2} = 0 4 x^{2} - 4 x + 1 = 0 4 x^{2} - 2 x - 2 x + 1 = 0 2 x (2 x - 1) - 1 (2 x - 1) = 0 (2 x - 1) (2 x - 1) = 0$

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