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# Z^4+1=0 has 4 distinct and non-zero solutions. HOW?

6 years ago

Rinkoo Gupta
80 Points
z^4+1=0
z^4=-1=cospi+isinpi
z^4=cos(2npi+pi)+isin(2npi+pi)
z^4=cos(2n+1)pi +i sin(2n+1)pi=e^i(2n+1)pi
z=e^i(2n+1)pi/4
z=e^ipi/4, e^i(3pi/4) , e^i(5pi/4) ,e^i(7pi/4)

Thanks & Regards
Rinkoo Gupta
6 years ago
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### Course Features

• 731 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions