If w and a are the nonreal cube roots of unity and [1/(a + c)] + [1/(b + c)] + [1/(c + a)] = 2a² and [1/(a + w2)] + [1/(b + w²)] + [1/(c + w2)]=2w, then find the value of [1/(a + 1)] + [1/(b + 1)] + [1/(c + 1)].
If w and a are the nonreal cube roots of unity and [1/(a + c)] + [1/(b + c)] + [1/(c + a)] = 2a² and [1/(a + w2)] + [1/(b + w²)] + [1/(c + w2)]=2w, then find the value of [1/(a + 1)] + [1/(b + 1)] + [1/(c + 1)].
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![If w and af are the nonreal cube roots of unity and
[1/(a + c)] + [1/(b + w)] + [1/(c + w)] = 2w² and
[1/(a + w²)] + [1/(b + w²)] + [1/(c + w²)] = 2w, then find the
value of [1/(a + 1)] + [1/(b + 1)] + [1/(c + 1)].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c4a76b3-3988-4f85-9d3b-26ea6a052da3%2Fa9a2bc70-6cd8-4ade-b7ad-c6fc46bec4c7%2Ffy9aepa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If w and af are the nonreal cube roots of unity and
[1/(a + c)] + [1/(b + w)] + [1/(c + w)] = 2w² and
[1/(a + w²)] + [1/(b + w²)] + [1/(c + w²)] = 2w, then find the
value of [1/(a + 1)] + [1/(b + 1)] + [1/(c + 1)].
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