Thread: Complex Numbers- Imaginary numbers

10+i over 4-i

Originally Posted by DRF4590

10+i over 4-i

First do this:

Then simplify:

Finally:

But check my arithmetic...

Originally Posted by DRF4590

10+i over 4-i

Code:

 
10+i      4+i
----- * ------
4 - i     4+i
 
        = (10*4+i*i)+(10*i+4*i)
          --------------------
                 4*4 - i*i
 
        = (40-1)+i(14)
           -----------
               16+1
 
        = 39+14i
           ------
             17
 
        = (39/17) + (14/17) i

-R.Mangalesh