Chapter 1 Quadratic Equations In One Unknown Worksheet With Answers Page 4

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Number and Algebra
Number and Algebra
3
15. 10, −
+
= −
+
2
17. 5 3
(
z
1
)
4
(
z
1
)
2
Solution
Solution
+
= −
+
2
5 3
(
z
1
)
4
(
z
1
)
3
x = 10 or
x = −
Q
+
= −
−
2
2
15
z
5
4
z
4
3
x − 10 = 0
or x +
= 0
+
+
=
2
4
z
15
z
9
0
2
+
+
=
(
4
z
3
)(
z
3
)
0
3
∴ (
−
 =
+
x
10
)
0
x
+
=
+
=
2
4
z
3
0
or
z
3
0
17
−
−
=
3
2
x
x
15
0
= −
= −
z
or
z
3
2
4
−
−
=
2
2
x
17
x
30
0
∴ The required equation is
− 17 x − 30 = 0.
2
2 x
−
+
−
−
=
2
18. (
y
4
)
(
y
4
)
30
0
Solution
Solve the following quadratic equations.
(16 – 19)
−
+
−
−
=
2
(
y
4
)
(
y
4
)
30
0
−
+
=
2
16. 5
z
4 2
(
z
1
)
0
−
+
+
−
−
=
2
y
8
y
16
y
4
30
0
Solution
−
−
=
2
y
7
y
18
0
+
−
=
(
y
2
)(
y
9
)
0
−
+
=
2
5
z
4 2
(
z
1
)
0
+
=
−
=
y
2
0
or
y
9
0
−
−
=
2
5
z
8
z
4
0
= −
=
y
2
or
y
9
+
−
=
(
5
z
2
)(
z
2
)
0
Alternative method:
+
=
−
=
5
z
2
0
or
z
2
0
−
+
−
−
=
2
(
y
4
)
(
y
4
)
30
0
2
= −
=
z
or
z
2
Let x = y − 4.
5
+
−
=
2
x
x
30
0
+
−
=
(
x
6
)(
x
5
)
0
+
=
−
=
x
6
0
or
x
5
0
= −
=
x
6
or
x
5
−
= −
−
=
y
4
6
or
y
4
5
= −
=
y
2
or
y
9
4

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