SOLUTION: Is it true that there is no complex number which is equal to its conjugate? Why?

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Question 1054212: Is it true that there is no complex number which is equal to its conjugate? Why?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Is it true that there is no complex number which is equal to its conjugate? Why?
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It's not true.
eg, the conjugate of 3 + 0i = 3 - 0i = 3

Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
.
Real numbers make a subset in the set of complex numbers.

Among all complex numbers, each real number is equal to its conjugate.

Inversely, if a complex number is equal to its conjugate, then this complex number is actually a real number.


For introductory lessons on complex numbers see
    - Complex numbers and arithmetic operations on them
    - Complex plane
    - Addition and subtraction of complex numbers in complex plane
    - Multiplication and division of complex numbers in complex plane
in this site.