How Do You Isolate and Solve for z in the Equation 4z - z(3+i) = -1+3i?

  • Thread starter Thread starter aisha
  • Start date Start date
  • Tags Tags
    Complex
Click For Summary

Homework Help Overview

The discussion revolves around isolating and solving for the variable z in the equation 4z - z(3+i) = -1 + 3i, which involves complex numbers.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore methods to isolate z, with one suggesting factoring out z from the equation. Questions arise regarding the next steps and the use of complex conjugates.

Discussion Status

The discussion includes attempts to clarify the steps needed to isolate z, with some participants providing hints and guidance. There is acknowledgment of the challenges faced in the process, and while one participant expresses gratitude for the help received, the overall discussion remains open-ended without a definitive conclusion.

Contextual Notes

Participants are navigating the complexities of working with equations involving both real and imaginary components, and there is a hint of confusion regarding the manipulation of complex numbers.

aisha
Messages
584
Reaction score
0
Find the complex and real part of z:
4z-z(3+i)=-1+3i

I think I am solving for z but I am having problems isolating it. Can some1 help please.
 
Physics news on Phys.org
Nevermind, sorry for confusing you.
 
Last edited:
Im not sure how to do that?
 
4z-z(3+i)=-1+3i

Factor out the z: z(4-(3+i) = -i + 3i ---> z(1-i) = -i + 3i

Hope you can figure out the next step (hint: it may involve the complex conjugate)
 
Thanks!

vincebs said:
4z-z(3+i)=-1+3i

Factor out the z: z(4-(3+i) = -i + 3i ---> z(1-i) = -i + 3i

Hope you can figure out the next step (hint: it may involve the complex conjugate)

THANKS SOOOO MUCH Vincebs I got the answer thank you, I couldn't get the answer because I never thought of factoring thanks sooo much. :smile:

The correct answer to this problem is z=-2+i
 

Similar threads

Differential Equation of a Pendulum
  • · Replies 32 ·
2
Replies
32
Views
3K
Finding a conditional probability from joint p.d.f
  • · Replies 4 ·
Replies
4
Views
2K
How to Predict Outcomes of New Equations Without Solving for Variables?
  • · Replies 18 ·
Replies
18
Views
4K
Solving for z in the Equation tan z = 1 + 2i
  • · Replies 3 ·
Replies
3
Views
2K
Textbook 'The Physics of Waves': Varying Force Amplitude
  • · Replies 3 ·
Replies
3
Views
1K
RC circuit using complex numbers
  • · Replies 12 ·
Replies
12
Views
2K
Skewed 3D visualization of E/Z in alkenes
  • · Replies 2 ·
Replies
2
Views
2K
High School What is the Difference between imaginary part and imaginary number?
  • · Replies 2 ·
Replies
2
Views
2K
How to find z^n of a complex number
  • · Replies 12 ·
Replies
12
Views
3K
Finding the expected value of position in a Potential Well
  • · Replies 31 ·
2
Replies
31
Views
5K