Algebra-1

To solve the quadratic equation x² - 4x - 1 = 0 by completing the square, we can follow these steps:

1. Move the constant term to the right side of the equation:
   x² - 4x = 1

2. Take half of the coefficient of x, square it, and add it to both sides of the equation:
   x² - 4x + (-4/2)² = 1 + (-4/2)²
   x² - 4x + 4 = 1 + 4
   x² - 4x + 4 = 5

3. Factor the left side of the equation as a perfect square:
   (x - 2)² = 5

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

5. Solve for x:
  

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