Additional Mathematics Module 3 - Quadratic Equations Worksheets With Answer Key Page 7
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332.3. SOLVING QUADRATIC EQUATIONS
2.3.1 Factorisation
Example 1
Example 2
2
.x
+ 6x + 5 = 0
x + 3
3x
4(x +3) = x(2x – 1)
2
( x + 3)(x + 2) = 0
.x + 2
2x
4x + 12 = 2x
- x
2
.x + 3 = 0 or x + 2 = 0
2x
- 5x - 12 = 0
2
.x = -3
x = - 2
.x
+ 6
5x
(2x + 3)(x - 4) = 0
2x + 3 = 0 or x - 4 = 0
Therefore, The roots of the equation are
3
.x =
x = 4
.x = -3 and -2
2
Therefore, The roots of the equation
are
3
.x =
and 4
2
Exercises 3
Solve the following quadratic equation by factorisation
2
2
1.
x
+ 3x - 4 = 0
2. x
-2x = 15
2
2
3.
4x
+ 4x – 3 = 0
4. 3x
- 7x + 2 = 0
6
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