3 x^2+11 x+6 3=0 - Vidyadip

Question

$\sqrt{3} x^2+11 x+6 \sqrt{3}=0$

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Answer

$\sqrt{3} x^2+11 x+6 \sqrt{3}=0$
$ \Rightarrow \sqrt{3} x^2+9 x+2 x+6 \sqrt{3}=0 $
$ \Rightarrow \sqrt{3} x(x+3 \sqrt{3})+2(x+3 \sqrt{3})=0$
$ \Rightarrow(x+3 \sqrt{3})(\sqrt{3} x+2)=0 $
$ x +3 \sqrt{3}=0 \text { or } \sqrt{3} x+2=0$
$\Rightarrow x =-3 \sqrt{3}$ or $x=-\frac{2}{\sqrt{3}}$ are two roots of the equation.

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