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March 16th, 2009, 12:11 AM  #1 
Newbie Joined: Mar 2009 Posts: 1 Thanks: 0  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. 
March 16th, 2009, 10:02 AM  #2 
Newbie Joined: Mar 2009 Posts: 1 Thanks: 0  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 xiy and calculate ? 

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complex, quadratic, solutions 
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