Chapter 1 Quadratic Equations In One Unknown Worksheet With Answers
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Quadratic Equations in One Unknown
Name :
1A
Date :
Mark :
1.2
Solving Quadratic Equations Using the Factor Method
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Key Concepts and Formulae
+
+
= , where a, b and c are real numbers
2
1. An equation in the form ax
bx
c
0
and a ≠ 0, is a quadratic equation in one unknown x.
2. For any two real numbers a and b, if ab = 0, then a = 0 or b = 0.
Solve the following quadratic equations. (1 – 6)
(x − 1)(x − 2) = 0
(4x + 1)(x + 2) = 0
1.
3.
Solution
Solution
(x − 1)(x − 2) = 0
(4 x + 1)( x + 2) = 0
4 x + 1 = 0
or x + 2 = 0
x − 1 = (
) or x − 2 = (
)
0
0
1
x = −
x = −2
or
x = (
x = (
4
) or
)
1
2
(x − 7)(x + 8) = 0
2.
Solution
5x(x + 9) = 0
4.
( x − 7)( x + 8) = 0
x − 7 = 0 or x + 8 = 0
Solution
x = 7
x = −8
or
+
=
5
x x
(
9
)
0
+
=
x x
(
9
)
0
=
+
=
x
0
or
x
9
0
=
= −
x
0
or
x
9
1
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