Question

Find the roots of the quadratic equation $\sqrt{2}{x}^2+7x+5\sqrt{2}=0$.

Answer 1

Now,

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

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

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

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

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