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Question

Question 1(iv)
Find the roots of the following quadratic equations by factorisation:
(iv) 2x2x+18=0

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Solution

(iv)
2x2x+18=18(16x28x+1)
(Splitting the middle term -8x as -4x-4x because 4x×4x=16x2)

=18(16x24x4x+1)=18(4x(4x1)1(4x1))=18(4x1)2
Roots of this equation are the values for which (4x1)2=0
(4x1)=0
x=14
So both the roots of the equation is 14

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