Solve:
$x^{2} - b^{2} = 2 a x - a^{2}$

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Solution

Now,
$x^{2} - b^{2} = 2 a x - a^{2}$

$\Rightarrow x^{2} - 2 a x + a^{2} = b^{2}$

$\Rightarrow (x - a)^{2} = b^{2}$

$\Rightarrow x = a \pm b$ .

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