Additional Mathematics Module 3 - Quadratic Equations Worksheets With Answer Key Page 11

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Quadratic formula
Example 1
Example 2
2
2
.x
+ 5x + 2 = 0
3x
= 4x + 2
2
.a = 1, b = 5, c = 2
3x
- 4x – 2 = 0
.a = 3, b = -4 , c = - 2
2
b
b
4
ac
Using the formula x =
Using the formula
2
a
 
 
  
  
4
4
4
3
2
2
5
5
4
1
2
.x =
 
.x =
 
2
3
2
1
 
4
16
24
5 
5
25
8
17
=
.x =
=
6
2
2
4 
40
5 
5 
17
17
=
.x =
or
6
2
2
4 
4 
40
40
= - 0.438 or - 4.562
.x =
or
6
6
= 1.721 and – 0.387
Exercises 5
Solve the following quadratic equations by using the quadratic formula
2
2
1.
x
– 11x + 28 = 0
2.
–x
– 3x + 5 = 0
10

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