Chapter 9 - Solving Quadratic Equations - 9.2 - Solving Quadratic Equations by Graphing - Exercises - Page 494: 11

$x^2-2x+1=0$

The given equation is $\Rightarrow 2x-x^2=1$ Subtract $1$ from each side. $\Rightarrow 2x-x^2-1=1-1$ Simplify. $\Rightarrow 2x-x^2-1=0$ Multiply each side by $-1$. $\Rightarrow -2x+x^2+1=0$ Standard form is $x^2-2x+1=0$