+23252 I'm going to assume that you mean completing a square in an algebraic equation.
Example: 2x² - 6x + 4 = 0
Step 1: If the x² term has a coefficient other than 1, divide all terms by that number.
Here the coefficient is 2, so divide all terms by 2:
---> x² - 3x + 2 = 0
Step 2: Move the constant term to the other side:
Here, subtract 2 from both sides:
---> x² - 3x = -2
Step 3: Divide the coefficient of the x-term by 2, square that answer, and add that value to both sides:
---> -3 ÷ 2 = -3/2 (divide by 2)
---> (-3/2)² = 9/4 (square that answer)
---> x² - 3x + 9/4 = -2 + 9/4 (add to both sides)
Step 4: Simplify the constants:
---> x² - 3x + 9/4 = 1/4
Step 5: Factor:
---> (x - 3/2)(x - 3/2) = 1/4
---> (x - 3/2)² = 1/4
Step 6: Find the square root of both sides (don't forget the ± sign):
---> (x - 3/2) = ±√(1/4)
---> x - 3/2 = ±1/2
---> x = 3/2 ± 1/2
---> x = 2 or x = 1
If this is the type of problem you had in mind, but don't understand some of the steps, please ask.
