Given that the complex Z satisfies 3Z + | Z | = 17-9i, find the complex Z | Math enthusiast | Mathematical art

Given that the complex Z satisfies 3Z + | Z | = 17-9i, find the complex Z

Let z = x + Yi, X and y be real numbers
3z+|z|
= 3x + 3yi + √（x² + y²）
= 17 - 9i
So the real part and the imaginary part are equal, 3Y = - 9, 3x + √ (X & # 178; + Y & # 178;) = 17
The solution is y = - 3, and X is irrational. Please make sure the next question is correct, and I'll work out the value

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