Question

Find the value of x $\sqrt{3}{x}^2+10x-8\sqrt{3}=0$

Answer 1

Given, $\sqrt{3}{x}^2+10x-8\sqrt{3}=0$

$\Rightarrow \sqrt{3}{x}^2+12x-2x-8\sqrt{3}=0$

$\Rightarrow \sqrt{3}x(x+4\sqrt{3})-2(x+4\sqrt{3})=0$

$\Rightarrow (\sqrt{3}x-2)(x+4\sqrt{3})=0$