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Math Formulas > Complex Number > Equality

Equality

Given that z1 and z2 are two complex numbers which are defined as followed:

z1 = a + bi
z2 = c + di

the two complex numbers are equal to each other if and only if the real and imaginary parts are equal.

In other words, if z1 = z2 we have:
a = c and b = d, where a, b, c and d are real numbers.

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