Solving a Quadratic Equation by Completion of Squares Method
Question 1 ii...
Question
Question 1 (iii)
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, 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