Question

Solve $p\left(x\right)=x^2+2\sqrt{2}x-6$

Answer 1

Solution :- given

$\Rightarrow x^2+2\sqrt{2}x-6=0$

$\Rightarrow x^2+3\sqrt{2}x-\sqrt{2}x-6=0$

$\Rightarrow x(x+3\sqrt{2})-\sqrt{2}(x+3\sqrt{2})=0$

$\Rightarrow (x+3\sqrt{2}(x-\sqrt{2}\left)\right)=0$

$\Rightarrow x=-3\sqrt{2}$

$x=\sqrt{2}$ (Ans)