Question

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

Answer 1

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

$\sqrt{3}{x}^2+2x+9x+6\sqrt{3}=0$

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

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

$\Rightarrow \sqrt{3}x+2=0$ or $x+3\sqrt{3}=0$

$\Rightarrow \sqrt{3}x=-2$ $x=-3\sqrt{3}$