X^2-6x+9=0 solve by completing the square

x=3

Step-by-step explanation:

Step 1: Subtract 9 from both sides.

x2−6x+9−9=0−9

x2−6x=−9

Step 2: The coefficient of -6x is -6. Let b=-6.

Then we need to add (b/2)^2=9 to both sides to complete the square.

Add 9 to both sides.

x2−6x+9=−9+9

x2−6x+9=0

Step 3: Factor left side.

(x−3)2=0

Step 4: Take square root.

x−3=±√0

Step 5: Add 3 to both sides.

x−3+3=3±√0

x=3±√0

x=3+0 or x=3−0

x=3

what is the graph

step-by-step explanation: