Math Problem Statement

Odredite skup svih kompleksnih brojeva za koje vrijedi sljedeće svojstvo:

a) imaju isti modul kao broj z = 5 - i * sqrt(2)

Solution

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Math Problem Analysis

Mathematical Concepts

Complex Numbers
Modulus of a Complex Number
Geometry in the Complex Plane

Formulas

Modulus of a complex number |z| = √(a^2 + b^2)
Equation of a circle x^2 + y^2 = r^2

Theorems

Definition of modulus for complex numbers

Suitable Grade Level

Grades 10-12