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Factorisation by Regrouping Terms

Solve: x 2 +...

Question

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

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Solution

$x^{2} + 5 x + 6 = 0$
$\Rightarrow x^{2} + 2 x + 3 x + 6 = 0$
$\Rightarrow x (x + 2) + 3 (x + 2) = 0$
$\Rightarrow (x + 2) (x + 3) = 0$
$∴ x = - 2, - 3$

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\frac{1 + x^{2}}{x^{2} - 5 x + 6} < 0

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x :

x^{2} - 5 x + 6 = 0

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