Chapter 1: Q44P (page 1)

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

Short Answer

Expert verified

The answer is obtained:

$x = 0, y = - 2$

Step by step solution

Given information

It is given that $x + i y = {(1 - i)}^{2}$ .

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.

Begin by stating the given information

State the given information:

$x + i y = {(1 - i)}^{2}$

Equate like terms

Equate like terms from both sides:

$x - i y = {(1 - i)}^{2} x - i y = 1 - 2 i - 1 x + i y = - 2 i$

Solve it further as:

$x = 0 a n d y = - 2$

Thus, the final answer is obtained:

$x = 0, y = - 2$

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

Short Answer

Step by step solution

Given information

Definition of a complex number

Begin by stating the given information

Equate like terms

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

Short Answer

Step by step solution

Given information

Definition of a complex number

Begin by stating the given information

Equate like terms

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Dynamics

Physical Quantities And Units

Energy Physics

Torque and Rotational Motion

Electricity and Magnetism

Force

Study anywhere. Anytime. Across all devices.

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