Algebra-1

To solve the quadratic equation x² - 6x + 2 = 0 by completing the square, we can follow these steps:

1. Move the constant term to the right side of the equation:
   x² - 6x = -2

2. Take half of the coefficient of x, square it, and add it to both sides of the equation:
   x² - 6x + (-6/2)² = -2 + (-6/2)²
   x² - 6x + 9 = -2 + 9
   x² - 6x + 9 = 7

3. Factor the left side of the equation as a perfect square:
   (x - 3)² = 7

4. Take the square root of both sides of the equation:
  
   

5. Solve for x:
   

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