Test:
Quadratic Function I - Ambitious
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Question 1:
Complete the square:
x
2
−
12
x
+
18
A
(
x
−
6
)
2
−
12
B
(
x
−
6
)
2
−
18
C
(
x
−
6
)
2
−
24
D
(
x
−
6
)
2
+
15
Question 2:
Complete the square:
3
x
2
−
15
x
+
21
A
3
(
x
−
2
)
2
+
5
B
3
(
x
−
2.5
)
2
+
1.75
C
3
(
x
−
2.5
)
2
+
2.25
D
3
(
x
−
2.5
)
2
+
3
Question 3:
Complete the square:
2
x
2
+
7
x
+
13
A
2
(
x
+
1.5
)
2
+
6.25
B
2
(
x
−
1.75
)
2
+
6.75
C
2
(
x
+
1.5
)
2
+
6.125
D
2
(
x
+
1.75
)
2
+
6.875
Question 4:
Find the sum of the roots of the quadratic equation:
x
2
−
15
x
+
2.5
=
0
A
15
B
3
C
5
D
−
15
Question 5:
Find the sum of the roots of the periodic equation:
3
x
2
−
4
x
+
5
=
0
A
−
4
B
2
1
3
C
there are no roots
D
4
Question 6:
Find the product of the roots of a quadratic equation:
x
2
−
17
x
+
23
=
0
A
23
B
−
23
C
−
17
D
11.5
Question 7:
Find the product of the roots of a quadratic equation:
−
7
x
2
+
2
x
+
21
=
0
A
−
7
B
−
3
C
21
D
−
21
Question 8:
Solve the quadratic equation:
−
7
x
2
+
2
x
+
21
=
0
A
{
x
1
=
2
x
2
=
3
B
{
x
1
=
1
x
2
=
4
C
{
x
1
=
2
1
2
x
2
=
5
1
2
D
{
x
1
=
−
1
x
2
=
2
Question 9:
Solve the quadratic equation:
2
x
2
+
7
x
+
6
=
0
A
{
x
1
=
−
2
x
2
=
1
3
B
{
x
1
=
−
2
x
2
=
−
1
1
2
C
{
x
1
=
−
1
x
2
=
1
D
{
x
1
=
−
3
x
2
=
−
1
Question 10:
Solve the quadratic equation:
A
{
x
1
=
−
1.15
x
2
=
−
38.22
B
{
x
1
=
−
2.33
x
2
=
−
24.66
C
{
x
1
=
−
2.18
x
2
=
−
28.43
D
{
x
1
=
0.66
x
2
=
−
48.66
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