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March 15th, 2009, 11:11 PM   #1
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Complex Solutions to A "Complex" quadratic

Hey guys just wondering if you could help with this question as it is tearing my hair out. I have tried so many things and rearranged it so many times.

3(|z|)^2 + (_z)^2 + 2z = 0

Where _z is conjugate of Z (No idea how to imput z hat!)

The question say find all complex roots of it and gives a hint to "write z = x + iy in Cartesian form"

I know |z|^2 = z_z but i dont know what to do with it.

Thanks for any help.
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March 16th, 2009, 09:02 AM   #2
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Re: Complex Solutions to A "Complex" quadratic

hi (sorry for my language errors, i'm french )

have you tried to replace z by x+iy and of course _z by x-iy and calculate ?
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