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Complex Numbers and Equations

Complex Numbers and Equations

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

This video tutorial on Positive Maths covers the equality of complex numbers, explaining that for two complex numbers to be equal, both their real and imaginary parts must be equal. The video provides three examples to illustrate how to solve equations involving complex numbers, including solving for variables and using simultaneous equations. The tutorial concludes with contact information for further inquiries.

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19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What must be true for two complex numbers to be considered equal?

Their imaginary parts must be equal.

Their real parts must be equal.

Both their real and imaginary parts must be equal.

Their magnitudes must be equal.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation x + i y + 6 - 9 i = 6 - 10 i, what is the value of x?

6

1

0

-1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation x + i y + 6 - 9 i = 6 - 10 i, what is the value of y?

-1

-9

0

1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation 2x - i y + y - x i = 1 - 5 i?

Combine like terms.

Add 5 to both sides.

Equate the real parts and the imaginary parts separately.

Multiply both sides by i.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation 2x + y = 1 and -y - x = -5, what is the value of x?

1

4

-4

0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation 2x + y = 1 and -y - x = -5, what is the value of y?

9

0

-9

5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation 2x - 1 + (x + y)i = y - 6 + (2y - 4)i?

Multiply both sides by 2.

Equate the real parts and the imaginary parts separately.

Add 6 to both sides.

Subtract 1 from both sides.

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