Question

Solve:
$\sqrt{2}{x}^2+7x+5\sqrt{2}=0$

Answer 1

Given,

$\sqrt{2}{x}^2+7x+5\sqrt{2}=0$

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

$\sqrt{2}x(x+\sqrt{2})+5(x+\sqrt{2})=0$

$(x+\sqrt{2})(\sqrt{2}x+5)=0$

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