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Question

Question: If 8iz<sup>3</sup> + 12z<sup>2</sup> –18z + 27i = 0, then:...

If 8iz3 + 12z2 –18z + 27i = 0, then:

A

|z| = 32\frac{3}{2}

B

|z| = 23\frac{2}{3}

C

|z| = 1

D

|z| = 34\frac{3}{4}

Answer

|z| = 32\frac{3}{2}

Explanation

Solution

Sol. 4z2 (2iz +3)+9i (2iz +3) = 0 ;(2iz + 3).(4z2+9i) = 0

2iz + 3 = 0 or 4z2 + 9i =0 Ž |z| = 32\frac{3}{2}