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Math Help - Complex Algebra

  1. #1
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    Complex Algebra

    Hi , could someone please help with this line of working

    I w=3(1-w) implies w=3(w-1)

    I don't understand how the result is found .

    many thanks
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  2. #2
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    Re: Complex Algebra

    Quote Originally Posted by minicooper58 View Post
    Hi , could someone please help with this line of working

    I w=3(1-w) implies w=3(w-1)

    I don't understand how the result is found .

    many thanks
    I don't understand it, either. I would understand

    iw=3(1-w) implies w=3i(w-1).
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  3. #3
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    Re: Complex Algebra

    thank you for your reply , sorry I omitted the modulus , it should read
    | i w| = 3 |1-w| implies |w| = 3 |w-1|
    Does this make a difference .
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  4. #4
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    Re: Complex Algebra

    Quote Originally Posted by minicooper58 View Post
    thank you for your reply , sorry I omitted the modulus , it should read
    | i w| = 3 |1-w| implies |w| = 3 |w-1|
    Does this make a difference .
    If each of z~\&~w is a complex number then |zw|=|z||w| and |z-w|=|w-z|.

    Moreover, because |i|=1 it follows that |iw|=|w|.
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  5. #5
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    Re: Complex Algebra

    many thanks much clearer now
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