Quadratic Functions Worksheet - Chapter 2 Page 3
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
1102Chapter02_014_024.qxd
3/9/04
9:31 am
Page 16
2
CHAPTER
Example
4
x
2
x
Solve the equation 6
13
5
0
2
6x
13x
5
0
Factorise.
(3x
1)(2x
5)
0
0 ⇒ x
1
Then either 3x
1
3
0 ⇒ x
5
or
2x
5
2
The solutions can be fractions or any other
1
5
The solutions are x
or x
type of number.
.
3
2
Example
5
2
Solve the equation
x
5
x
18
2
3
x
x
2
5x
18
2
3x
x
2
x
Rearrange in the form a
b
c
0.
x
2
8x
16
0
Factorise.
(x
4)(x
4)
0
0 ⇒ x
Then either x
4
4
0 ⇒ x
x
or
4
4
x
Here
4 is the only solution, i.e. the two
⇒
x
4
roots are equal.
Example
6
x
2
Solve the equation (2
3)
25
2
(2x
3)
25
This is a special case.
2x
3
5
Take the square root of both sides.
2x
3
5
Remember 25
5 or
5.
5 ⇒ x
Then either 2x
3
4
Add 3 to both sides.
5 ⇒ x
or
2x
3
1
The solutions are x
4 or x
1.
Example
7
x
2
Solve the equation (
3)
7
2
(x
3)
7
Square root. (If you do not have a calculator,
x
3
7
leave this in surd form.)
x
3
7
Then either x
3
7
x
or
3
7
The solutions are x
3
7 or x
3
7 .
16
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