Question

Solve :
$\sqrt{2}{x}^2-\sqrt{3}x-3\sqrt{2}$

Answer 1

$x=\frac{-(-\sqrt{3})\pm \sqrt{(-\sqrt{3}{)}^2}-4\left(\sqrt{2}\right)(-3/\sqrt{2})}{2\left(\sqrt{2}\right)}$

$=\frac{\sqrt{3}\pm \sqrt{3+24}}{2\sqrt{2}}$

$\frac{\sqrt{3}\pm \sqrt{27}}{2\sqrt{2}}$

$=\frac{\sqrt{3}\pm 3\sqrt{3}}{2\sqrt{2}}$.