Chapter 1 Quadratic Equations In One Unknown Worksheet With Answers Page 2
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34Number and Algebra
Number and Algebra
3(x + 12)(x − 15) = 0
32y − 8y
= 0
2
5.
8.
Solution
Solution
3( x + 12)( x − 15) = 0
−
=
2
32
y
8
y
0
−
=
8 4
y
(
y
)
0
( x + 12)( x − 15) = 0
y = 0 or 4 − y = 0
x + 12 = 0
or x − 15 = 0
y = 0 or
y = 4
x = −12 or
x = 15
4(3x − 1)(x + 9) = 0
+ 11x + 10 = 0
2
6.
9.
x
Solution
Solution
−
+
=
+ 11x + 10 = 0
2
4 3
(
x
1
)(
x
9
)
0
x
−
+
=
(
3
x
1
)(
x
9
)
0
[x + (
)] [x + (
)] = 0
10
1
−
=
+
=
3
x
1
0
or
x
9
0
x + (
) = 0 or x + (
) = 0
1
10
1
=
= −
x
or
x
9
x = (
or x = (
−10
−1
)
)
3
+
−
=
Solve the following quadratic equations using
2
10. x
3
x
10
0
the factor method. (7 – 12)
Solution
+
=
2
7.
x
17
x
0
+
−
=
2
x
3
x
10
0
Solution
+
−
=
(
x
5
)(
x
2
)
0
+
=
−
=
)(x + 17) = 0
x
5
0
or
x
2
0
(
x
= −
=
x
5
or
x
2
x = (
) or x + 17 = (
)
0
0
x = (
x = (
−17
) or
)
0
2
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