Solving using the quadratic formula with complex solutions

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Mathematics
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main challenge in factoring the quadratic equation x^2 + 6x + 15 = 0?
The numbers do not multiply to 15.
The numbers do not add up to 6.
The equation is already in factored form.
The equation has no real solutions.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a quadratic equation cannot be factored, which method can be used to find its solutions?
Substitution
Graphing
Using the discriminant
Completing the square
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the coefficients a, b, and c in the quadratic equation x^2 + 6x + 15 = 0?
a = 15, b = 6, c = 1
a = 6, b = 1, c = 15
a = 1, b = 6, c = 15
a = 1, b = 15, c = 6
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a negative discriminant indicate about the solutions of a quadratic equation?
There are two real solutions.
There is one real solution.
There are no real solutions, only complex solutions.
The equation is not quadratic.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of the discriminant for the equation x^2 + 6x + 15 = 0?
24
60
-24
36
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the expression sqrt(-24) simplified in terms of imaginary numbers?
4 sqrt(6)
2i sqrt(6)
4i sqrt(6)
2 sqrt(6)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the final solutions for the quadratic equation x^2 + 6x + 15 = 0?
-3 ± 2 sqrt(6)i
-3 ± sqrt(6)i
-6 ± 2 sqrt(6)i
-6 ± sqrt(6)i
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