Algebra-1

To solve the quadratic equation x² - 12x + 31 = 0 by completing the square, we can follow these steps:

1. Move the constant term to the right side of the equation:
   x² - 12x = -31

2. Take half of the coefficient of x, square it, and add it to both sides of the equation:
   x² - 12x + (-12/2)² = -31 + (-12/2)²
   x² - 12x + 36 = -31 + 36
   x² - 12x + 36 = 5

3. Factor the left side of the equation as a perfect square:
   (x - 6)² = 5

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

5. Solve for x:
   

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