Question
If z = 3+5i, then z3 + ¯z + 198 =
Answer: Option C
:
C
z = 3+5i ,¯z = 3-5i
⇒z3=(3+5i)3=33+(5i)3+3.3.5i(3+5i)
= -198+10i
Hence, z3+¯z+ 198 = 10i-198+3-5i+198 = 3+5i .
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:
C
z = 3+5i ,¯z = 3-5i
⇒z3=(3+5i)3=33+(5i)3+3.3.5i(3+5i)
= -198+10i
Hence, z3+¯z+ 198 = 10i-198+3-5i+198 = 3+5i .
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