Complex Numbers help

[Rakesh_007]

 

[Deleted member 4993]

View attachment 21022

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this problem.

 

[Rakesh_007]

Im stuck here. Still simplifying, but don’t know what to do after.

 

[Deleted member 4993]

View attachment 21027Im stuck here. Still simplifying, but don’t know what to do after.

You are given:

Im(w) = 0........................So

-y^3 + x^2y + y - 2x^2y = 0

-y(x^2 + y^2 -1) = 0

continue.....

 

[Rakesh_007]

Thanks you so much for your insights. I’ve solved it here. But do you have any insights in how I can justify/Prove/show that |z|=1

 

[Deleted member 4993]

Thanks you so much for your insights. I’ve solved it here. But do you have any insights in how I can justify/Prove/show that |z|=1
View attachment 21030

If z = x + iy what is |z|?

 

[Steven G]

You did all this work but failed to answer the question. If you did that on an exam of mine you would have paid for that oversight.