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WorksheetsN.9 - Quadratic Formula with Complex Solutions
Total questions: 10
Worksheet time: 13mins
Name
Class
Date
1.
If b2-4ac is negative, the quadratic equation has:
a)
Two real solutions that are different
b)
Two imaginary solutions that are different
c)
A real double solution
d)
An imaginary double solution
2.
Which is a solution to 3x2 + 2 = 0
a)
1
b)
(√6/3)i
c)
(⅔)i
d)
⅔
3.
Which is a solution to (½)x2 + 8 = 0
a)
- 4i
b)
16i
c)
- 16i
d)
1
4.
What are the zeros of the function f(x) = x2 + 64?
a)
-8 and 8
b)
-8i and 8i
c)
(-√8) i and (√8) i
d)
-√8 and √8
5.
Solve x2 - 5x + 10 = 0
a)
(5 - i√15)/2 , (5 + i√15)/2
b)
(5 - √15)/2 , (5 + √15)/2
c)
(5 - i√65)/2 , (5 + i√65)/2
d)
(5 - √65)/2 , (5 + √65)/2
6.
Solve -2x2 + 4x = 9
a)
(2 - i√14)/2 , (2 + i√14)/2
b)
(2 - i√-56)/2 , (2 + i√-56)/2
c)
(2 - i√-14)/2 , (2 + i√-14)/2
d)
(2 - √14)/2 , (2 + √14)/2
7.
If a quadratic has 2 real solutions, how many x-intercepts does it have?
a)
0
b)
1
c)
2
d)
3
8.
If a quadratic has 1 real solution, how many x-intercepts does it have?
a)
0
b)
1
c)
2
d)
3
9.
If a quadratic has 2 imaginary solutions, how many x-intercepts does it have?
a)
0
b)
1
c)
2
d)
3
10.
Why does x2+81=0 have no real solutions? Choose all that apply.
a)
It has 2 real solutions
b)
There are no x-intercepts when I graph it
c)
The discriminant is negative
d)
I can't do quadratic formula
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