Question

x^2 - 2x =10 solve by completing the square use commas to separate answers as needed or use radicals as needed

Answer 1

so you are going to take the coefficient on the x term and divide it by 2 than square it, than add it to both sides an simplify:
\[x^2-2x=10\]
so:
\[\frac{-2}{2}=1 \rightarrow (1)^2=1\]
\[x^2-2x+1=10+1\rightarrow x^2-2x+1=11\]
The LHS can be factored, and so:
\[(x-1)^2=11 \rightarrow x-1=\pm \sqrt{11} \rightarrow x=1\pm \sqrt{11}\]

Answer 2

typo:
\[\frac{-2}{2}=-1 \rightarrow (-1)^2=1\]