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Chapter 1: Q44P (page 1)

Solve for all possible values of the real numbers xand y in the following equations.x+iy=(1-i)2

Short Answer

Expert verified

The answer is obtained:

x=0,y=-2

Step by step solution

01

Given information

It is given that x+iy=1-i2.

02

Definition of a complex number

Every complex number can be described 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:

x+iy=1-i2

04

Equate like terms

Equate like terms from both sides:

x-iy=1-i2x-iy=1-2i-1x+iy=-2i

Solve it further as:

x=0andy=-2

Thus, the final answer is obtained:

x=0,y=-2

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Most popular questions from this chapter

Use power series to evaluate the function at the given point. Compare with computer results, using the computer to find the series, and also to do the problem without series. Resolve any disagreement in results (see Example 1).earcsinx+In(1-xe)atx=0.0003.

sin(x)x,x>0

By the method used to obtain (12.5)[which is the series(13.1)below], verify each of the other series (13.2)to (13.5)below.

f(x)=cotx,a=蟺2

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