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Zeroes of a Polynomial

Solve the fol...

Question

Solve the following quadratic equations by factorization method :
$x^{2} - 4 a x + 4 a^{2} - b^{2} = 0$

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Solution

$x^{2} - 4 a x + 4 a^{2} - b^{2} = 0$
$⟹ x^{2} - 4 a x + 4 a^{2} = b^{2}$
$⟹ (x - 2 a)^{2} = b^{2}$
$∴ x - 2 a = b$ and $x - 2 a = - b$
$∴ x = 2 a + b$ and $x = - b + 2 a$

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