If Z is a complex number such that: (Z^2018) = i +( 2018)^2018, then find the number of 1 - Maths - Relations and Functions

Question

If Z is a complex number such that: (Z^2018) = i +( 2018)^2018,
then find the number of 1 Complex roots, 2 Roots lying in 2nd
Quadrant and in 1st Quad

Aakash Paran Baishya · Accepted Answer

Dear Student,

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5b01cecab8f61%20jpg"
style="width: 768px; height: 1024px;">
as per the values of all roots will lie in 1st quadrant
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If Z is a complex number such that: (Z^2018) = i +( 2018)^2018, then find the number of 1. Complex roots, 2. Roots lying in 2nd Quadrant and in 1st Quad