I'm having a bit problem solving the following equation: c * conjugate(z) = i where c = 3 + 5i and z is a complex number (a + bi) I tried following conjugate(z) = i/c But have no idea how to remove the conjugate from z. Any ideas?
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Originally Posted by TriForce I'm having a bit problem solving the following equation: c * conjugate(z) = i where c = 3 + 5i and z is a complex number (a + bi) I tried following conjugate(z) = i/c But have no idea how to remove the conjugate from z. Any ideas? The conjugate of the conjugate of z is z itself. So what is the conjugate of i/c? -Dan
Originally Posted by TriForce I'm having a bit problem solving the following equation: c * conjugate(z) = i where c = 3 + 5i and z is a complex number (a + bi) If then . So . So solve
Last edited by Plato; Apr 29th 2011 at 12:59 PM.
Oh, thanks so much, i really need to practice more...
Originally Posted by TriForce @topsquark Well that's kind of the problem, i can't find anything about conjugating a complex number fraction... If you insist upon this: . Then . But I find the system approach clearer.
Originally Posted by Plato So solve Could you please explain why you put real numbers = 0, and complex = 1, and where did complex i go?
Originally Posted by TriForce Could you please explain why you put real numbers = 0, and complex = 1, and where did complex i go? If then . So if then .
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