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# Find the roots of the following quadratic equations by factorisation: (v) 100 x ^2 - 20x + 1 + 0

Q1.    Find the roots of the following quadratic equations by factorisation:

(v)    $100x^2 -20x +1 = 0$

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Given the quadratic equation: $100x^2 -20x +1 = 0$

Factorisation gives, $100x^2 -10x-10x +1 = 0$

$\Rightarrow 10x(10x-1)-10(10x-1) = 0$

$\Rightarrow (10x-1)(10x-1) = 0$

$\Rightarrow x=\frac{1}{10}\ or\ \frac{1}{10}$

Hence, the roots of the given quadratic equation are

$\frac{1}{10}\ and\ \frac{1}{10}$.

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