z=? What is the absolute value of z if 3z -9i = 8i + z + 4.

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It is given that 3z -9i = 8i + z + 4

3z -9i = 8i + z + 4

=> 3z - z = 4 + 8i + 9i

=> 2z = 4 + 17i

=> z = 2 + 17i/2

|z| = sqrt (2^2 + (17/2)^2)

=> sqrt (4 + 289/4)

=> sqrt (305/4)

=> (sqrt 305)/2

The value of |z| = (sqrt 305)/2

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