Completing The Square In Math
In mathematics completing the square is used to compute quadratic polynomials.
Completing the square in math. For example x 6x 5 isn t a perfect square but if we add 4 we get x 3. Created by sal khan and ck 12 foundation. Ax 2 bx c x p 2 constant. Completing the square formula is given as.
X 1 2 36. It can also be used to convert the general form of a quadratic ax 2 bx c to the vertex form a x h 2 k. Step 1 divide all terms by a the coefficient of x2. This in essence is the method of completing the square.
The rest of this web page will try to show you how to complete the square. X 2 10 x 24. Step 3 complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation. The quadratic formula is derived using a method of completing the square.
Generally the goal behind completing the square is to create a perfect square trinomial from a quadratic. Completing the square is a method used to solve quadratic equations. X 1 2 36 x 1 6 x 5 or 7. For example x 6x 9 x 3.
However even if an expression isn t a perfect square we can turn it into one by adding a constant number. We now have something that looks like x p 2 q which can be solved rather easily.