In deriving the formula for the roots of a quadratic equation we used completing
the squares method. The same technique can be applied in solving any given quadratic
equation through the following steps.
Step 1: Write the quadratic equation in general form
Step 2: Divide both sides of the equation by the coefficient of x2 if it is not 1.
Step 3: Shift the constant term to the right hand side.
Step 4: Add the square of one-half of the coefficient of x to both sides.
Step 5: Write the left hand side as a square and simplify the right hand side.
Step 6: Take the square root on both sides and solve for x.