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Factorisation by Common Factors

Facrtorise 9...

Question

Facrtorise
$9 x^{2} - 6 x + 1 = 0$

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Solution

A] $9 x^{2} - 6 x + 1 = 0$
$\Rightarrow 9 x^{2} - 3 x - 3 x + 1 = 0$
$\Rightarrow 3 x (3 x - 1) - 1 (3 x - 1) = 0$
$∴ (3 x - 1)^{2} = 0$
so, $x = \frac{1}{3}, \frac{1}{3}$

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