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Discriminant

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Question

Find the roots of the quadratic equation $x^{2} - 2 x + 1 = 0$

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Solution

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

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