What is the positive solution to the equation 0 = –x2 2x 1
\(0=-x^2+2x+1\\x^2-2x-1=0\\x=\frac{-(-2)\pm\sqrt{(-2)^2-(4\times1\times-1)}}{2\times1}\\=\frac{2\pm\sqrt{4+4}}{2}\\=\frac{2\pm2\sqrt{2}}{2}\\=1+\sqrt{2} \ or \ 1-\sqrt{2}\)
Therefore, the positive solution is \(1+\sqrt{2}\)