Question
Download Solution PDFIf iz3 + z2 - z + i = 0, then |z| is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
If z = a + ib, then |z| = \(\rm \sqrt{a^2 + b^2}\)
Solution:
The given equation can be solved as:
iz3 + z2 - z + i = 0
⇒ iz3 + i2z + z2 + i = 0
⇒ iz(z2 + i) + (z2 + i) = 0
⇒ (z2 + i)(zi + 1) = 0
⇒ z2 + i = 0 or zi + 1 = 0
⇒ z2 = -i or z = i
|z| = 1 in both the cases.
Last updated on May 19, 2025
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