Chapter 2: Q35P (page 54)

Solve for all possible values of the real numbers $x$ and $y$ in the following equations.
$x + i y = 3 i - 4$

Short Answer

Expert verified

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

Step by step solution

Given information

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

Definition of a complex number

Every complex number can be written as:

$z = a + b i$

Where andare 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 as:

x = i y = 3 i - 4

Equate like terms

Equate like terms from both sides as:

$x = - 4 and y = 3$

Thus, the final answer is obtained:

$x = - 4, y = 3$

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Solve for all possible values of the real numbers $x$ and $y$ in the following equations.
$x + i y = 3 i - 4$

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.

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Solve for all possible values of the real numbers x and y in the following equations.x+iy=3i-4

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

Geometrical and Physical Optics

Turning Points in Physics

Physical Quantities And Units

Physics of Motion

Measurements

Radiation

Study anywhere. Anytime. Across all devices.

Solve for all possible values of the real numbers $x$ and $y$ in the following equations.
$x + i y = 3 i - 4$