SOLUTION: find Re(z1z2/z1) and Im(1/z1z2) if z1=2-i,z2=-2+i

SOLUTION: find Re(z1z2/z1) and Im(1/z1z2) if z1=2-i,z2=-2+i

Algebra.Com

Question 1055627: find Re(z1z2/z1) and Im(1/z1z2) if z1=2-i,z2=-2+i
Answer by ikleyn(52754) (Show Source): You can put this solution on YOUR website!
.
find Re(z1z2/z1) and Im(1/z1z2) if z1=2-i,z2=-2+i
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1.   = z2 = -2 + i.

    Therefore, Re = Re(z2) = -2.


2.   =  =  =  =  =  =  = .

    Therefore,  Im = .

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
    - How to take a square root of a complex number

    - Solved problems on taking roots of complex numbers
    - Solved problems on arithmetic operations on complex numbers
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.

RELATED QUESTIONS
Write z1 and z2 in polar form. (Express θ in radians. Let 0 ≤ θ <... (answered by stanbon)

prove that... (answered by ikleyn)

If z1 = 4cis300� and z2 = 2cis30� , find z1z2 in its POLAR FORM:... (answered by ikleyn)

If z1 = 4cis300° and z2 = 2cis30° , find z1z2 in its POLAR FORM:... (answered by ikleyn)

Find the product z1z2 and the quotient z1/z2, given z1={{{ sqrt(2)(cos75+isin75) }}} (answered by ikleyn)

Z1=3e^i180/3 Z2=2e^i4*180/3 Z3=z1z2 Z1= -0.5 +0.866i Z2=z1^3 Z1= -16... (answered by Alan3354)

If z1 = 2cis115� and z2 = 3cis65� , write z1z2 in its RECTANGULAR FORM: a +... (answered by ikleyn)

If z1 = 2cis115° and z2 = 3cis65° , write z1z2 in its RECTANGULAR FORM: a + bi. (answered by ikleyn)

Let z1 = 4(cos 7π/12 + i sin 7π/12) and z2 = 6(cos 5π/12 + i sin... (answered by stanbon)