# Complex Algebra

• November 26th 2011, 05:47 AM
minicooper58
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
• November 26th 2011, 05:58 AM
Ackbeet
Re: Complex Algebra
Quote:

Originally Posted by minicooper58
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 $w=3i(w-1).$
• November 26th 2011, 06:53 AM
minicooper58
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 .
• November 26th 2011, 07:47 AM
Plato
Re: Complex Algebra
Quote:

Originally Posted by minicooper58
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 $|iw|=|w|.$
• November 26th 2011, 07:52 AM
minicooper58
Re: Complex Algebra
many thanks much clearer now