CLEP Pre-Calculus Exam

Find all complex numbers z that satisfy the equation z + 3z' = 5 - 6i, where z' is the complex conjugate of z.

z = 5/4 - 3i z = 5/4 + 3i z = 5 - 3i z = 5 + 3i

z = 5/4 + 3i

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