Solve the given quadratic equation by factorisation method, $100 x^{2} - 20 x + 1 = 0$

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Solution

The given quadratic equation $100 x^{2} - 20 x + 1 = 0$ can be factorised as follows:

$100 x^{2} - 20 x + 1 = 0 \Rightarrow 100 x^{2} - 10 x - 10 x + 1 = 0 \Rightarrow 10 x (10 x - 1) - 10 (10 x - 1) = 0 \Rightarrow (10 x - 1) = 0, (10 x - 1) = 0 \Rightarrow 10 x = 1, 10 x = 1 \Rightarrow x = \frac{1}{10}, x = \frac{1}{10}$

Hence, $x = \frac{1}{10}$

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