Question

Find zeros of $5\sqrt{5}{x}^2+30x+8\sqrt{5}$

Answer 1

$5\sqrt{5}{x}^2+30x+8\sqrt{5}=0$

$x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{-30+\sqrt{{30}^2-4\cdot 5\sqrt{5}8\sqrt{5}}}{2\cdot 5\sqrt{5}}=-\frac{2\sqrt{5}}{5}$

$x=\frac{-30-\sqrt{{30}^2-4\cdot 5\sqrt{5}8\sqrt{5}}}{2\cdot 5\sqrt{5}}=-\frac{4\sqrt{5}}{5}$

$x=-\frac{2\sqrt{5}}{5},x=-\frac{4\sqrt{5}}{5}$