Question:medium
If $\left| z - \frac{3}{z} \right| = 2$, then the greatest value of $|z|$ is:
If $\left| z - \frac{3}{z} \right| = 2$, then the greatest value of $|z|$ is:
Show Hint
For problems of the form $|z + k/z| = a$, the maximum value of $|z|$ is the positive root of the quadratic equation $r^2 - ar - |k| = 0$.
Updated On: May 2, 2026
- $1$
- $2$
- $3$
- $4$
- $5$
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The Correct Option is C
Solution and Explanation
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