Solving a Quadratic Equation by Factorization Method
Question 1v F...
Question
Question 1(v) Find the roots of the following quadratic equations by factorization: (v)100x2−20x+1=0
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Solution
(v)100x2−20x+1=100x2−10x−10x+1 (Splitting the middle term -20x as -10x-10x because −10x×−10x=100x2) =10x(10x−1)−1(10x−1)=(10x−1)2 Roots of this equation are the values for which, (10x−1)2=0 ∴(10x−1)=0or(10x−1)=0 ⇒x=110orx=110