# Find the roots of the quadratic equation 4x^2 + 4√3x + 3 = 0 - Mathematics

Sum

Find the roots of the quadratic equation 4x2 + 4√3x + 3 = 0

#### Solution

4x2 + 4√3x + 3 = 0

\Rightarrow x^2+\sqrt{3}x+\frac{3}{4}=0

"i.e "x^2+2xxxxxsqrt3/2+(sqrt3/2)^2-(sqrt3/2)^2+3/4=0

=>( x+\frac{\sqrt{3}}{2})^2 -\frac{3}{4}+\frac{3}{4}=0

"i.e."(x+sqrt3/2)^2=0

\Rightarrow x+\frac{\sqrt{3}}{2}=0\text{ and }x=\frac{-\sqrt{3}}{2}

Concept: Solutions of Quadratic Equations by Completing the Square
Is there an error in this question or solution?