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Question

Question 1(v)
Find the roots of the following quadratic equations by factorization:
(v)100x220x+1=0

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Solution

(v)100x220x+1=100x210x10x+1
(Splitting the middle term -20x as -10x-10x because 10x×10x=100x2)
=10x(10x1)1(10x1)=(10x1)2
Roots of this equation are the values for which,
(10x1)2=0
(10x1)=0 or (10x1)=0
x=110 or x=110

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