Determine the exact real solution of the following quadratic equation by completing the square. \[x^2-6x+7=0\]
You can enter intermediate results of the method of completing the square (in the form of equations) and get feedback.
If there is no solution, finally enter the word none. If there is one solution, finally enter an equation of the form \(x=a\). If there are two solutions, separate the solutions with the logical "or" operator \(\lor\), in other words, enter the final answer in the form \(x=a\lor x=b\).