Math Problem Statement

Odrediti realni deo kompleksnog broja z = 4 - i.

Solution

The task is to determine the real part of the complex number z=4iz = 4 - i.

In a complex number of the form z=a+biz = a + bi, where aa is the real part and bb is the imaginary part, the real part is simply the value of aa.

For z=4iz = 4 - i:

  • The real part is 44.

Answer: 4

Would you like further details or have any questions?


Here are some related questions to expand on this topic:

  1. What is the imaginary part of z=4iz = 4 - i?
  2. How do you find the modulus (absolute value) of a complex number?
  3. What is the conjugate of the complex number z=4iz = 4 - i?
  4. How would you represent z=4iz = 4 - i in polar form?
  5. Can you explain the difference between real and imaginary parts of a complex number?

Tip: In complex numbers, the real part is always independent of ii, while the imaginary part is the coefficient of ii.

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Math Problem Analysis

Mathematical Concepts

Complex Numbers
Real and Imaginary Parts

Formulas

In a complex number z = a + bi, the real part is a

Theorems

Basic definition of complex numbers and their components

Suitable Grade Level

Grades 9-12