Test:
Quadratic Functions III - Ambitious
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Question 1:
Are
x
=
3,
x
=
5
roots of the equation:
x
2
−
6
x
+
5
=
0
A
х
=
3,
x
=
5
B
х
≠
3,
x
≠
5
C
х
=
3,
x
≠
5
D
х
≠
3,
x
=
5
Question 2:
Using the Vieta’s formulas find
x
1
x
2
and
x
1
+
x
2
for the equation
2
x
2
−
x
+
7
=
0
A
x
1
x
2
=
1
2
,
x
1
+
x
2
=
7
2
B
x
1
x
2
=
7
2
,
x
1
+
x
2
=
1
2
C
Cannot be found
D
x
1
x
2
=
3
2
,
x
1
+
x
2
=
1
2
Question 3:
Find the value of
x
1
2
x
2
+
x
1
x
2
2
=
...
without calculating square roots of
x
2
+
x
−
56
=
0
A
53
B
40
C
47
D
56
Question 4:
Which graph represents the equation
y
=
3
x
2
A
B
C
D
Question 5:
Find a square root of the equation based on the graph:
A
x
=
1,
x
=
5
B
x
1,2
=
±
5
C
x
=
0,
x
=
5
D
x
=
0
Question 6:
Find a square root of the quadratic equation based on the graph
A
х
=
0
B
x
1,2
=
±
3
C
х
=
−
3
D
х
=
3
Question 7:
What is the quadratic equation of the following graph
A
x
2
−
6
x
+
6
=
0
B
x
2
−
6
x
=
0
C
x
2
−
4
x
+
8
=
0
D
x
2
−
6
x
+
8
=
0
Question 8:
Solve the equation
(
x
−
6
)
2
=
9
A
The equation has no solution.
B
x
1,2
=
±
3
C
x
=
3,
x
=
0
D
x
=
3,
x
=
9
Question 9:
What are the signs of the square roots of a function that corresponds to the below graph:
A
x
1
<
0,
x
2
<
0
B
x
1
>
0,
x
2
>
0
C
x
1
>
0,
x
2
<
0
D
x
1
<
0,
x
2
>
0
Question 10:
Solve the equation
8
x
2
+
6
x
−
2
=
0
A
x
=
−
1,
x
=
1
4
B
x
=
−
3
4
,
x
=
1
4
C
The equation has no solution.
D
x
1,2
=
±
1
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