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 = 3

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

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

5. Solve for x:
   

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