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

To solve the quadratic by complete square method we proceed as follows:

x²-6x+7=0

this can be written as:

x²-6x=-7

but

c = (-b/2a) ^2

c = ( - (-6) / 2) ^2=9

next we add 9 on both sides of our expression to get:

x²-6x+9=-7+9

x²-6x+9=2

factoring out the LHS we get:

(x-3) (x-3) = 2

(x-3) ²=2

getting the square root of both sides we obtain:

x-3=+/-√2

hence:

x=3+/-√2