2.3

hey hey 5th hour. Today we got busy with some quadratic equations.. woop woop



First with those basics

Quadratic Equation: An equation that can be written like so-
when a DOESNT = 0




Solving that thang


Factoring:




Put equation in the form as written above.

(2x-1)(x+3)=0
Put equation into form (dx+e)(fx+g) where df=a, eg=c, and dg+ef=b

2x-1=0
x+3=0
Set both sets of parentheses equal to zero

x=1/2
x=-3
Solve both equations. Make sure to check that both solutions work!!





Quadratic Formula:




By plugging in the numbers from your equation, you can use this formula to find that oh so elusive x...






Another way to factor:

Lets say you got yourself a toughie, and you want an easier way to factor it....



Subtract 4 from both sides

Take 1/2 of b (in this case it 'b' is 6) and square it.
For this equation you get 9. Add 9 to both sides.

Factor. It should be much easier to factor than before

Take the root of both sides

Solve for x




A very 'Special' Equation ;)

Sometimes a quadratic equation may be written in the form-


This can be solved by taking the root of both sides, resulting in-
(dont forget the +-, its a tad important)










Some other important things:


http://seaholmhighlander.com/lifestyles/student-life/359-the-man-the-math-the-legend
(this site will be on the test)

-hannah schuele