Quadratic Functions Worksheet - Chapter 2 Page 7
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
1102Chapter02_014_024.qxd
3/9/04
9:31 am
Page 20
2
CHAPTER
2.5
2
You can solve quadratic equations ax
bx
c
0 by using the formula
2
b
(b
4ac)
x
2a
Example
12
x
2
x
Show that the solutions of a
b
c
0 are
2
b
(b
4ac)
x
2a
To do this complete the square.
b
c
x
2
x
0
x
2
The coefficient
is a so divide by a.
a
a
b
c
c
x
2
x
Subtract
from both sides.
a
a
a
2
b
b
c
2
x
Complete the square.
2
2
a
4
a
a
2
b
b
c
2
2
b
x
Add
to both sides.
2
4
a
2
a
2
4
a
a
2
b
b
4
ac
2
x
Combine the RHS.
2
2
a
4a
2
b
(b
4ac)
x
Square root.
2a
2
a
2
b
(b
4ac)
b
x
Thus
Subtract
from both sides.
2a
2
a
2
b
4ac is called the discriminant.
Example
13
x
2
x
Solve 4
3
2
0 by using the formula.
2
( 3)
[( 3)
4(4)( 2)]
2
b
(b
4ac)
x
x
Use
2a
2
4
where a
4, b
3, c
2.
3
(9
3 2)
x
4
4
2
32
8
3
41
x
8
3
41
Then x
8
3
41
Leave your answer in surd form.
x
or
8
20
ADVERTISEMENT
0 votes
Related Articles
Related forms
Chapter 4 Notes Packet On Quadratic Functions And Factoring Worksheet With Answers - Algebra 2
Education
Vertex Form Of Quadratic Functions Worksheet - Unit 2, Chino Valley Unified School District
Education
Related Categories
Parent category: Education