Question

x^2-2x=1

Answer 1

\(\large\color{black}{ x^2-2x=1 }\) adding \(\large\color{black}{1 }\) to both sides,
\(\large\color{black}{ x^2-2x\color{red}{+1}=1 \color{red}{+1} }\)
\(\large\color{black}{ x^2-2x+1=2 }\)

Answer 2

can you factor the left hand side?

Answer 3

HINT: \(\large\color{blue}{(-1)+(-1)=-2 }\) and \(\large\color{blue}{(-1)\times(-1)=1 }\)