Question

Solve :
$2\sqrt{3}{x}^2-5x+\sqrt{3}=0$

Answer 1

$2\sqrt{3}{x}^2-5x+\sqrt{3}=0$

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

$2x(\sqrt{3}x-1)-\sqrt{3}(\sqrt{3}x-1)=0$

$(2x-\sqrt{3})(\sqrt{3}x-1)=0$

$\Rightarrow x=\frac{\sqrt{3}}{2},x=\frac{1}{\sqrt{3}}$

$\therefore$ roots are $(\frac{\sqrt{3}}{2},\frac{1}{\sqrt{3}})$