Thread: Imaginary numbers

In the following, I don't understand how the expression on the LHS equals to the one on the RHS:



("Im" means "imaginary")

Of course if on LHS we cancel out the (1-i) term on the numerator with the one on denominator we get



And if , then the denominator becomes 2. But I can't work out the rest. Any help is appreciated.

Originally Posted by demode

In the following, I don't understand how the expression on the LHS equals to the one on the RHS:



("Im" means "imaginary")

Of course if on LHS we cancel out the (1-i) term on the numerator with the one on denominator we get



And if , then the denominator becomes 2. But I can't work out the rest. Any help is appreciated.

You need to convert the whole complex number into the form so that you can read off the imaginary part.





.


So what is the imaginary part of this complex number?

Originally Posted by demode

In the following, I don't understand how the expression on the LHS equals to the one on the RHS:



("Im" means "imaginary")

Of course if on LHS we cancel out the (1-i) term on the numerator with the one on denominator we get



And if , then the denominator becomes 2. But I can't work out the rest. Any help is appreciated.

What do you mean "if i= 2". Do you solve problems with real numbers by saying "if 1= 2"? You seem to think that "i" is a variable- it is not!

If you are going to do problems with imaginary and complex numbers, it would be a really good idea to first learn what "imaginary" and "complex numbers" are.