Mathematics

Find the roots of the following quadratic equations by factorisation :
100x² - 20x + 1 = 0

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Solving,

⇒ 100x² - 20x + 1 = 0

⇒ 100x² - 10x - 10x + 1 = 0

⇒ 10x(10x - 1) - 1(10x - 1) = 0

⇒ (10x - 1)(10x - 1) = 0

⇒ 10x - 1 = 0 or 10x - 1 = 0

⇒ 10x = 1 or 10x = 1

⇒ x = $\dfrac{1}{10} \text{ or x} = \dfrac{1}{10}$ .

Hence, x = $\dfrac{1}{10}, \dfrac{1}{10}$ .

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