• Support PF! Buy your school textbooks, materials and every day products Here!

Finding complex solutions from an eqn.

  • Thread starter JC3187
  • Start date
  • #1
15
0
Given z = 1 + i,

Find all complex solutions to z^{2} + Conjugate:z^{2} = 0

I have come up with a way to solving this but it doesn't make any sense.

would it be:
z^{2} + 1-i = 0

z^{2} = -1+i

Solve for all complex roots

then do the same for conjugate squared?
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
26,258
618
Given z = 1 + i,

Find all complex solutions to z^{2} + Conjugate:z^{2} = 0

I have come up with a way to solving this but it doesn't make any sense.

would it be:
z^{2} + 1-i = 0

z^{2} = -1+i

Solve for all complex roots

then do the same for conjugate squared?
Finding all complex solutions to z^2+conjugate(z^2)=0 makes a bit of sense. Adding "when z=1+i" makes it make no sense unless you just want to show (1+i)^2+(1-i)^2=0. Or do you just want to solve (1+i)^2+conjugate(z^2)=0??
 
Last edited:

Related Threads for: Finding complex solutions from an eqn.

Replies
3
Views
824
Replies
2
Views
602
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
16
Views
2K
  • Last Post
Replies
9
Views
2K
  • Last Post
Replies
5
Views
1K
Top