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Zeroes of a Polynomial

Solve the giv...

Question

Solve the given quadratic equation by factorization
$x^{2} + 6 x + 5 = 0$

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Solution

Given : $x^{2} + 6 x + 5 = 0$

$x^{2} + 5 x + x + 5 = 0$

$x (x + 5) + 1 (x + 5) = 0$

$(x + 5) (x + 1) = 0$

$\Rightarrow x = - 5, - 1$

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