Test:
Quadratic Functions III - Challenging
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Question 1:
Solve the equation
x
2
−
9
x
x
=
0
A
x
1,2
=
±
3
B
х
=
−
3
C
х
=
3
D
х
=
9
Question 2:
Solve the equation
x
2
−
5
x
2
+
4
=
0
A
x
=
±
4,
x
=
±
1
B
x
=
4,
x
=
1
C
x
=
±
1
D
x
=
±
4
Question 3:
Solve the equation
x
2
−
12
(
x
)
2
−
28
=
0
A
х
=
−
14,
х
=
2
B
х
=
−
2
C
х
=
14
D
х
=
14,
х
=
−
2
Question 4:
Solve the equation
x
2
−
3
x
+
7
x
−
2
=
7
x
−
2
−
2
A
х
=
−
1
B
х
=
1
C
х
=
2
D
x
=
2,
х
=
1
Question 5:
Which quadratic equation corresponds to the below graph?
A
x
2
−
6
x
+
5
=
0
B
x
2
−
6
x
=
0
C
x
2
−
3
x
+
5
=
0
D
x
2
−
6
x
+
4
=
0
Question 6:
Which quadratic equation corresponds to the below graph?
A
−
x
2
+
9
x
−
14
=
0
B
−
x
2
+
9
x
=
0
C
x
2
−
9
x
+
14
=
0
D
−
x
2
+
9
x
−
5
=
0
Question 7:
For what value of
b
the equation
4
х
2
−
b
x
+
20
=
0
has only one square root?
A
b
=
±
8
5
B
b
=
5
C
b
=
−
8
5
D
b
=
8
5
Question 8:
What is a sign of a coefficient
а
and discriminant of the quadratic equation represented by the following graph:
A
a
>
0,
D
<
0
B
a
<
0,
D
>
0
C
a
>
0,
D
>
0
D
a
<
0,
D
<
0
Question 9:
Based on the Vieta’s Theorem find
x
1
2
+
x
2
2
, when
х
1
and
х
2
are square roots of
3
x
2
−
x
+
10
=
0
A
1
B
−
6
5
9
C
7
9
D
22
9
Question 10:
Based on the Vieta's Theorem find
х
2
−
х
1
, when
х
1
and
х
2
are square roots of
x
2
−
5
x
+
6
=
0
A
2
B
1
C
0
D
±
1
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