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Chapter 2: Q35P (page 54)

Solve for all possible values of the real numbers x and y in the following equations.

x+iy=3i-4

Short Answer

Expert verified

The answer is obtained as: x=-4,y=3.

Step by step solution

01

Given information

It is given that x+iy=3i-4.

02

Definition of a complex number

Every complex number can be written as:

z=a+bi

Where andare 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=3i-4
04

Equate like terms

Equate like terms from both sides as:

x=-4andy=3

Thus, the final answer is obtained:

x=-4,y=3

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Most popular questions from this chapter

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.

2+3i1-i.

Find each of the following in rectangular a+bz form ifz=2if ; if z=x+yz .

role="math" localid="1658486330935" 1z+1.

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.

Solve for all possible values of the real numbers xand yin the following equations. (2x-3y-5)+i(x+2y+1)=0

Solve for all possible values of the real numbers x and y in the following equations.|x+iy|=y-ix. .

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