Additional Mathematics Module 3 - Quadratic Equations Worksheets With Answer Key Page 5
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2.2.2 Recognising general form of quadratic equation .ax
+ bx – c = 0
Example 1
Example 1
2
.x
= 5x – 9
2
x
2
x
4x =
2
.x
– 5x + 9 = 0
x
Compare with the general form
2
4x(x) = x
– 2x
2
.ax
+ bx – c = 0
2
2
4x
- x
– 2x = 0
2
3x
– 2x = 0
Thus, a = 1, b = -5 and c = 9
Compare with the general form
Thus, a = 3, b = - 2 and c = 0
Exercises 2
Express the following equation in general form and state the values of a, b and c
5
1. 3x =
7
x 2
.2.
(2x + 5) =
x
3.
x( x + 4 ) = 3
.4. (x – 1)(x + 2) = 3
4
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