Solve the following quadratic: `x^2+x+1/(sqrt(2))=0`

Answer

`x=frac{-1-sqrt{1-2 sqrt{2}}}{2}`

Explanation

`x^{2}+x+\frac{1}{\sqrt{2}}=0`


Here, `a=1, b=1, c=\frac{1}{\sqrt{2}}`
$$ \mathrm{x}=\frac{-\mathrm{b} \pm \sqrt{\mathrm{b}^{2}-4 \mathrm{ac}}}{2 \mathrm{a}} $$
$$
\Rightarrow x=\frac{-1 \pm \sqrt{1^{2}-4(1)\left(\frac{1}{\sqrt{2}}\right)}}{2(1)}
...