If $a^{2} - 2 a + 1 = 0$ , then the value of $a$

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Solution

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

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