Additional Mathematics Module 3 - Quadratic Equations Worksheets With Answer Key Page 9
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
332.3.2. Completing the square
Example 1
Example 2
Rearrange in the
form
2
2
.x
– 6x + 7 = 0
2x
-5x – 1 = 0
2
.x
+ px = q
2
2
2x
– 5x = 1
.x
- 6x = -7
Change the
5
1
coefficient
2
2
2
6
6
.x
-
x =
2
2
of x
to 1
.x
– 6x +
= - 7 +
2
2
2
2
2
2
5
5
1
5
2
2
2
.x
– 6x + (-3)
= -7 + (-3)
2
Add
.x
-
x +
=
+
2
2
2
4
2
4
(x - 3)
= 2
coefficien
t
..
of
.
x
.x – 3 =
2
2
2
5
1
25
.x = 3
2
To both sides
x
=
+
4
2
16
.x = 3 + 2 or 3 - 2
.x = 4.414 or 1.586
33
=
16
5
33
33
.x -
=
=
4
16
4
5
33
5
33
.x =
+
or
-
4
4
4
4
5
5
33
33
.x =
or
4
4
.x = 2.686 or -0.186
Exercises 4
Solve the following quadratic equation by completing the square
2
2
1. (x + 3 )
= 16
2. (5x - 4)
= 24
8
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education