Solving a Quadratic Equation by Completion of Squares Method
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Question
Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (iii) 4x2+4√3x+3=0
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Solution
(iii) 4x2+4√3x+3=0 We know; D = b2–4ac = (4√3)2–4×4×3 = 48 - 48 = 0 Since, D=0, hence roots are possible for this equation. ⇒(2x)2+2×2x×√3+(√3)2=0 ⇒(2x+√3)2=0 ⇒(2x+√3)=0and(2x+√3)=0 ⇒x=−√32orx=−√32