Question

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

Answer 1

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