Algebra II: Completing the square
 This is a free lesson from our course in Algebra II

 In this lesson you'll explore the process of completing the square for solving the equations that cannot be easily solved by addition, subtraction, multiplication, division, and factoring.  In mathematics, completing the square is considered a basic algebraic operation, and is often applied without remark in any computation involving quadratic polynomials. Completing the square is the process of finding the last term of a perfect square trinomial. E.g. Completing the square for 2x2 = 1/4 - 1/2 x, gives x = -1/2, 1/4. To generalize let us take an example of an equation being solved in variable x: Remember the following major steps: • it assumes that the equation being solved is in the variable x. • group all like terms and move all constants to other sides of the equation. (More text below video...)
Other useful lessons:
 Graphing the equation of a circle Graphing the equation of a parabola Graphing the equation of a hyperbola Calculating the asymptotes Conic sections and special points
(Continued from above) • following this, divide each term in the equation by the coefficient of the x2 term, unless the coefficient is 1.
• divide the coefficient of the x term by two; square it, and add to both sides.
• now factor the left side as a perfect square trinomial.
• take the square root of each side and determine solution for the variable. For example, x2 + y2 + 4x - 6y = 23 simplifies to (x + 2)2 + (y - 3)2 = 36.
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