Question

Find the zeros of $\sqrt{3}{x}^2+10x+7\sqrt{3}$

Answer 1

$\sqrt{3x^2}+10x+7\sqrt{3}=0$

$\sqrt{3}{x}^2+7x+3x+7\sqrt{3}=0$

$x\left(\sqrt{3x}+7\right)+\sqrt{3}\left(\sqrt{3}x+7\right)=0$

$\left(\sqrt{3}x+7\right)\left(x+\sqrt{3}\right)=0$

$\sqrt{3}x=-7;x=-\sqrt{3}$

$x=-\frac{7}{\sqrt{3}}\&-\sqrt{3}$ are zeroes