Solve the equation: x²-6x+9=0

The equation is a quadratic equation, and you can factor it as a perfect square: (x - 3)² = 0 Now, to find the solutions, take the square root of both sides: √((x - 3)²) = √0 x - 3 = 0 Now, add 3 to both sides to isolate x: x = 3 So, the solution to the equation x² - 6x + 9 = 0 is indeed x = 3.