Chapter 1 Quadratic Equations In One Unknown Worksheet With Answers Page 32
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34Number and Algebra
Number and Algebra
, then x =
−
=
−
+
10. If 6
15. If the quadratic equation
(
x
3
)
(
x
3
)(
x
5
)
+
+
+
=
2
6
x
14
x
(
k
1
)
0
has two
3 or −5.
A. 3 or 1.
B.
distinct real roots, find the range of
C. −3 or 5.
D. 6 or 1.
A
possible values of k.
100
43
43
−
+
=
, then x =
k >
k ≥
11. If (
x
20
)
1
25
A.
B.
x
6
6
A. 80.
43
43
k =
k <
C.
D.
D
B. 25.
6
6
C. −25 or 80.
16. If 0 is one of the roots of the quadratic
D. 25 or −80.
D
+
−
+
+
=
2
2
2
equation ax
3
a x
2
a
a
1
0
in x, then a =
12. Which of the following quadratic
equations has a double root 3 2 ?
A. 1 or 2.
−2 or −1.
−
+
=
2
B.
A.
x
6 2
x
18
0
+
+
=
2
1
B.
x
6 2
x
18
0
−
C.
or 2.
2
+
=
2
x
18
0
C.
1
D. 1 or −
−
=
.
2
D
D.
x
18
0
A
2
13. Which of the following quadratic
17. If 4 is one of the roots of the quadratic
equations have no real roots?
− 13x + b = 0, find the
2
equation 2x
−
+
=
2
I.
2
x
3
x
2
0
other root of the equation.
+
+
=
2
II.
5
x
10
x
6
0
3
1
A.
B.
+
+
=
2
III. x
x
2
0
2
2
5
11
A. I and II only
C.
D.
C
2
2
B. I and III only
18. If the quadratic equation
C. II and III only
− gx + 15 = 0 has two distinct real roots,
2
4x
D. I, II and III
D
which of the following are the possible
values of g?
14. If the quadratic equation
−
+
=
2
px
4
x
1
0
has a double real
−16
I.
root, then p =
II.
14
A. 1.
III. 18
B. 2.
A. I and II only
C. 4.
B.
I and III only
D. 8.
C
C.
II and III only
D. I, II and III
B
32
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