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Lesson 9­5.notebook April 29, 2013
Sep 22­6:57 PM
Lesson 9.5:
*The Quadratic Formula:
x =  ­b  +     b2  ­  4ac
   2a
SO...now we know several ways to solve quadratic equations:
factoring
graphing
completing the square
quadratic formula
Lesson 9­5.notebook April 29, 2013
May 5­7:35 AM
The discriminant is the expression under the radical symbol, 
b2  ­  4ac, and based on what that value is...determines the 
number of real solutions of the quadratic equation.
"IF" b2  ­  4ac is negative:
no real solution
"IF" b2  ­  4ac is zero:
one real solution
"IF" b2  ­  4ac is positive:
2 real solutions
Lesson 9­5.notebook April 29, 2013
Sep 22­6:57 PM
Lesson 9.5 examples:
State the value of the discriminant.  Then determine the # of real solutions.
A) x2  ­  9x  +  21  =  0
B) 9x2  +  24x  =  ­16
C) 2x2  ­  5x  +  20  =  0
Lesson 9­5.notebook April 29, 2013
Apr 12­11:01 AM
Solve each equation by using the Quadratic Formula.
D) x2  ­  2x  ­  15  =  0
E) 10x2  ­  31x  +  15  =  0

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