Thread: algebra complex

Hey guys,

I need to find the complex solution to this: (and I apologise for not using the tools to display this stuff properly, but i havent learnt them yet and am in a hurry).

Find complex solutions of:
3|z|^2 + z[with a bar on it]^2 + 2z = 0
I have no idea how to go about doing this one Ive never even seen anything like that.

Also, {z [is a member of] C | z = z[with a bar on it]}
Does this just mean the real number line, ie y = 0, because the only time a complex number can equal its conjugate is when it =s 0?

Thanks a lot.

Originally Posted by Flay

Hey guys,

I need to find the complex solution to this: (and I apologise for not using the tools to display this stuff properly, but i havent learnt them yet and am in a hurry).

Find complex solutions of:
3|z|^2 + z[with a bar on it]^2 + 2z = 0
I have no idea how to go about doing this one Ive never even seen anything like that.

Also, {z [is a member of] C | z = z[with a bar on it]}
Does this just mean the real number line, ie y = 0, because the only time a complex number can equal its conjugate is when it =s 0?

Thanks a lot.

Let . Then your equation becomes:

.

Therefore:

Equate real parts: .... (1)

Equate imaginary parts: .... (2)

Solve equations (1) and (2) simultaneously.

thanks very much for that