Place the following steps in order to complete the square and solve the quadratic equation, x^2-6x+7=0

We have that

x² - 6x+7=0

Group terms that contain the same variable

(x²-6x) + 7=0

Complete the square Remember to balance the equation

(x²-6x+9-9) + 7=0

Rewrite as perfect squares

(x-3) ²+7-9=0

(x-3) ²-2=0

(x-3) ²=2

(x-3) = (+/-) √2

x = (+/-) √2+3

the solutions are

x=√2+3

x=-√2+3