ALGEBRA 1 NOTES
NAME: ____________________________
THE QUADRATIC FORMULA NOTES
EXAMPLE 1: SOLVE: 6x 2 " 4 x " 5 = 0
! FORM OF A QUADRATIC EQUATION: ______________________
 STANDARD
 THE QUADRATIC FORMULA IS:
IN ORDER FOR YOU TO BE ABLE TO USE THE QUADRATIC FORMULA THESE THINGS MUST BE TRUE:
1. ___________________________________________________
2. ___________________________________________________
3. ___________________________________________________
CAN WE USE THE QUADRATIC FORMULA FOR EXAMPLE 1?
EXAMPLE 2: SOLVE "2 x 2 + 7x " 5 = 0
!
EXAMPLE 3: FIND THE ZEROS OF THE FUNCTION. y = x 2 + 7x " 3
!
TRY THESE:
2
1. SOLVE: 3x + 10 x = 5
!
2. FIND THE ZEROS: y = 3x 2 ! 6 x + 4
 THE DISCRIMINANT:
2
EXAMPLE 4: FIND THE DISCRIMINANT 3x " 2 x + 1 = 0
!
USING THE RESULTS FROM THE CHART ACTIVITY, COMPLETE THE FOLLOWING:
o
o
o
o
THE DISCRIMINANT ALLOWS YOU TO DETERMINE HOW MANY REAL SOLUTIONS A QUADRATIC EQAUTION HAS.
IF THE DISCRIMINANT IS NEGATIVE THERE ARE _______ SOLUTIONS.
IF THE DISCRIMINANT IS POSITIVE THERE ARE _______ SOLUTIONS.
IF THE DSICRIMINANT IS 0 THERE IS _____ SOLUTION.