
Complex Numbers and Quadratic Equations

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Sophia Harris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary goal of this lesson?
To memorize the quadratic formula
To understand the history of quadratic equations
To solve quadratic equations with real coefficients and express solutions in the form a ± bi
To learn how to graph quadratic equations
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you express the square root of a negative number in terms of i?
By using the quadratic formula
By finding the prime factorization and using i for the square root of -1
By converting it to a positive number
By ignoring the negative sign
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the quadratic formula help us find?
The axis of symmetry
The solutions to a quadratic equation
The vertex of a parabola
The maximum or minimum value of a quadratic function
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When using the quadratic formula, what indicates that the solutions will be complex?
When b² - 4ac is negative
When a is greater than b
When the equation is not factorable
When c is zero
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example problem, what are the values of a, b, and c?
a = 1, b = 2, c = 3
a = 2, b = 4, c = 3
a = 3, b = 4, c = 2
a = 1, b = 1, c = 1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the square root of negative 8 simplified in the example?
As 2 root 2
As i root 8
As 4i
As 2i root 2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final form of the solution to the quadratic equation in the example?
x = 1 ± i root 2
x = -2 ± i root 2 over 2
x = -1 ± i root 2 over 2
x = 2 ± i root 2
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