Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Q37P (page 54)

Solve for all possible values of the real numbers xand yin the following equations.

x+iy=0

Short Answer

Expert verified

The answer is obtained as:

x=0,y=0

Step by step solution

01

Given information

It is given that x+iy=0.

02

Definition of a complex number

Every complex number can be written as:

z=a+bi

Whereaandbare both real numbers, z is the complex number, and i is known as iota, which makes z a complex number.

03

Begin by stating the given information

State the given information as:

x+iy=0

04

Equate like terms

Equate like terms from both sides as:

x+iy=0x=0andy=0

Thus, the final answer is obtained:

x=0,y=0

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find the power series for excosxand for exsinxfrom the series for ezin the following way: Write the series for ez; put z=x+iy. Show that ez=ex(cosy+isiny); take real and imaginary parts of the equation, and put y=x.

Find the absolute value of each of the following using the discussion above. Try to do simple problems like these in your head-it saves time.

2i-1i-2.

For each of the following numbers, first visualize where it is in the complex plane. With a little practice you can quickly findin your head for these simple problems. Then plot the number and label it in five ways as in Figure 3.3. Also plot the complex conjugate of the number.

5(cos0-isin0).

Describe geometrically the set of points in the complex plane satisfying the following equations.|z+1|+|z-1|=8.

Question:First simplify each of the following numbers to the x+iyform or to thereiθform. Then plot the number in the complex plane.

10.5(cos40°+isin40°.
See all solutions

Recommended explanations on Physics Textbooks

Astrophysics

Read Explanation

Turning Points in Physics

Read Explanation

Thermodynamics

Read Explanation

Rotational Dynamics

Read Explanation

Dynamics

Read Explanation

Solid State Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free