Question 2 (iii) Find the roots of the quadratic equations given in Q.1 above by applying the quadratic formula. (iii) 4x2+4√3x+3=0
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Solution
(iii) 4x2+4√3x+3=0 On comparing this equation with ax2+bx+c=0, we get a=4,b=4√3andc=3 By using quadratic formula, we get x=−b±√b2−4ac2a ⇒x=−4√3±√(4√3)2−4×4×32×4 ⇒x=−4√3±√48−488 ⇒x=−4√3±√08 ⇒x=−4√38 ∴x=−√32