JEE Main 2022 (Online) 29th July Morning ShiftQuestion 1
If $z=2+3i$, then $z^5+(\bar z)^5$ is equal to :
Complex Numbers
Solution
$z^2=-5+12i$, $z^4=-119-120i$, $z^5=z^4z=122-597i$. $z^5+\bar z^5=2\,\mathrm{Re}(z^5)=244$. Answer: (A).Complex Numbers - JEE Mathematics question (JEE Main 2022 (Online) 29th July Morning Shift)
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