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Chapter 2: Q46P (page 54)

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

Short Answer

Expert verified

The answer is x=-y.

Step by step solution

01

Given information

It is given thatx+iyx-iy=-i .

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+iyx-iy=-ix+iy=-ix-iyx+iy=-ix-iy

04

 Step 4: Equate like terms

Equate like terms from both sides:

x+y+x+yi=0+0ix+y=0x+y=0x=-y

Thus, the answer is x=-y.

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