If $x=\sqrt{3}$ is a solution of the equation $ax^2+\sqrt{3}x-12=0$...

Question

If $x=\sqrt{3}$ is a solution of the equation $ax^2+\sqrt{3}x-12=0$, then:

Accepted Answer

Substituting $x=\sqrt3$: $$a(\sqrt3)^2+\sqrt3(\sqrt3)-12=0 \Rightarrow 3a+3-12=0 \Rightarrow 3a=9 \Rightarrow a=3$$