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Chapter 2: Q36P (page 54)

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

2ix+3=y-i

Short Answer

Expert verified

The answer is obtained as:

x=-12,y=3

Step by step solution

01

Given information

It is given that 2ix + 3 = y - i .

02

Definition of a complex number

Every complex number can be written as:

z = a + bi

Where aand bare 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:

2ix + 3 = y - i

04

Equate like terms

Equate like terms from both sides as:

2ix+3=y-i2x=-1x=-12andy=3Thus,thefinalanswerisobtainedas:x=-12,y=3

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Most popular questions from this chapter

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

x+iy=2i-7

Find each of the following in rectangular a+zb form if z=2-3t; if z=x+yz.

1+z1-z.

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.

role="math" localid="1658476746206" (cos3蟺2+isin3蟺2)

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

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

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