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Question
Find the roots of the following quadratic equation by factorisation:
100x2 – 20x + 1 = 0
Sum
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Solution
100x2 – 20x + 1
= 100x2 – 10x - 10x + 1
= 10x(10x - 1) -1(10x - 1)
= (10x - 1)2
Roots of this equation are the values for which (10x - 1)2 = 0
∴ (10x - 1) = 0 or (10x - 1) = 0
⇒ `x = 1/10 orx = 1/10`
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