

Complex Numbers and Quadratic Equations
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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7 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the equation given in the video that involves complex numbers?
x^2 + 4x = 4 + 2i
x^2 - 4x = 4 - 2i
x^2 + 2x = 2 + 4i
x^2 - 2x = 2 - 4i
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the quadratic formula used to solve equations of the form ax^2 + bx + c = 0?
x = (-b ± √(b^2 - 4ac)) / 2a
x = (b ± √(b^2 + 4ac)) / 2a
x = (-b ± √(b^2 + 4ac)) / a
x = (b ± √(b^2 - 4ac)) / a
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of simplifying the expression inside the radical for the given equation?
12 + 16i
14 + 18i
8 + 12i
10 + 14i
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the square root of a complex number like 3 + 4i?
Divide by 2
Multiply by its conjugate
Add 1 to both sides
Set it equal to a + bi and square both sides
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the two solutions derived using the quadratic formula for the given equation?
1 + i and -3 - i
2 + i and -2 - i
1 - i and -3 + i
2 - i and -2 + i
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the second method introduced for solving the quadratic equation?
Synthetic division
Completing the square
Factoring
Graphical method
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of solving the equation using the completing the square method?
x = 2 - i and x = -2 + i
x = 2 + i and x = -2 - i
x = 1 - i and x = -3 + i
x = 1 + i and x = -3 - i
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