SOLUTION: which are the real part and imaginary part of the complex number [(1+i)/(1-i)]-[(1-i)-(1+i)]

Algebra.Com
Question 1100597: which are the real part and imaginary part of the complex number [(1+i)/(1-i)]-[(1-i)-(1+i)]

Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
which are the real part and imaginary part of the complex number [(1+i)/(1-i)]-[(1-i)-(1+i)]
~~~~~~~~~~~~~~~~~

 =  =  =  = 1 + i.


[(1-i) - (1+i)] = -2i.


Therefore 


 = 1 + i - 2i = 1 - i.


The real part of this complex number is 1.  The imaginary part is -i.


-------------------
There is a bunch of my lessons on complex numbers
    - Complex numbers and arithmetical operations on them
    - Complex plane
    - Addition and subtraction of complex numbers in complex plane
    - Multiplication and division of complex numbers in complex plane
    - Raising a complex number to an integer power
    - How to take a root of a complex number

    - Solved problems on taking roots of complex numbers
    - Solved problems on arithmetic operations on complex numbers
    - Solved problem on taking square root of complex number
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Complex numbers".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.



RELATED QUESTIONS

help! i dont understand this problem...i know what real and imaginary numbers are but... (answered by cartert,Mathtut,Fombitz)
Find the real and imaginary parts of the complex number. 7 - (square root-11)... (answered by Alan3354)
If z1 and z2 are two complex numbers with |z1|=|z2| ,then which of the following are... (answered by Edwin McCravy,Fombitz)
We use the Greek letter iota, i, to represent the square root of -1 ( ). We call i an... (answered by MathLover1)
(1+i)^100 find its imaginary part?? (answered by Theo)
We can represent complex numbers geometrically by plotting them on the "complex plane",... (answered by ikleyn)
Please help me solve this: If z is a complex number such that the real part of... (answered by solver91311)
Find the real part and imaginary part of... (answered by CharlesG2)
I need to know the real and imaginary parts of the complex number. (17+2i)i^47. All I... (answered by venugopalramana)