Solve the equation using completing the square method x^2-6x+9

Please I need your solutions

there's no equation.

And, there's not much to do, since

x^2-6x+9 = (x-3)^2

I suspect you have left something out...

It should be x^2-6x+9=0

well, just plug in

(x-3)^2 = 0
x = 3

I mean using completing the square method to get the answer

To solve the equation x^2 - 6x + 9 using the completing the square method, follow these steps:

Step 1: Start with the original equation: x^2 - 6x + 9.

Step 2: Identify the coefficient of x^2; in this case, it is 1.

Step 3: Divide the coefficient of x (which is -6) by 2, and then square the result. (-6/2)^2 = (-3)^2 = 9.

Step 4: Add the result from step 3 to both sides of the equation.
x^2 - 6x + 9 + 9 = 9 + 9
Simplifying the equation: x^2 - 6x + 18 = 18.

Step 5: Rewrite the first three terms as a perfect square trinomial. To do this, take half of the coefficient of x (-6/2 = -3), and square it (-3)^2 = 9.
(x - 3)^2 = 18.

Step 6: Take the square root of both sides to solve for x:
√((x - 3)^2) = ±√18.

Step 7: Simplify the square root of 18:
√18 = √(9 × 2)
= √9 × √2
= 3√2.

Therefore, the final solution for x is:
x - 3 = ±3√2,
x = 3 ± 3√2.