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Chapter 2: Q38P (page 54)

Solve for all possible values of the real numbersand in the following equations.

x+iy=2i-7

Short Answer

Expert verified

The answer is obtained:

x=-7,y=2

Step by step solution

01

Given information

It is given that x+iy=2i-7.

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=2i-7

04

Equate like terms

Equate like terms from both sides as:

x+iy=2i-7x=-7andy=2

Thus, the final answer is obtained:

x=-7,y=2

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Most popular questions from this chapter

Describe geometrically the set of points in the complex plane satisfying the following equations. |z-1+i|=2.

For each of the following numbers, first visualize where it is in the complex plane. With a little practice you can quickly find x,y,r,胃in 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.

2i-2.

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.

(1+i1-i)5

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

5-2i5+2i.

Test each of the following series for convergence.

鈭�1/(1+i)n
See all solutions

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