Monday, March 7, 2011

Using Quadratic Formula and Completing the Square

Ax^2 + Bx + C = 0
x^2 +( b/a)x = -(c/a)

1.    1.    x^2 +(b/a) + (b/a)^2 = (b/2a)^2 – (c/a)
2.    2,    (x + (b/2a)^2) = (b/2a)^2 – (c/a)
3.   3.    x +(b/2a) = + or -   (b^2/4a^2)-(c/a)
4.   4.    x = + or - Square Root      b^2/4a^2 – c/a
5.   5.    x = -b/2a + or - Square Root    b^2-4ac/4a^2
6.  6.     x = -b/2a + or -  Square Root     b^2-4ac/2a
7.  7.     x = -b + or - Square Root    b^2 – 4ac/2a  

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