Question

Solve: $x^2-(2+\sqrt{2})x+2\sqrt{2}=0$.

Answer 1

Now,

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

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

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

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

or, $x=2,\sqrt{2}$.