While I can understand the impulse showing students how the Formula was invented and thereby providing a concrete example of the usefulness of abstract symbolic manipulation the computations involved are often a bit beyond the average student at this point. Ii Rewrite the equation with the constant term on the right side. We will use the example x2 4x1 0 x 2 4 x 1 0 to illustrate each step.
Complete the Squareax2 bx c has x in it twice which is hard to solve.
X2 10x 25 4 25. X 2 10 x 4. In this video we discuss how to derive the quadratic formula from completing the square on a quadratic equation written in standard form. Completing the square involves creating a perfect square trinomial from the quadratic equation and then solving that trinomial by taking its square root.