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1. Let a, b, c E R, and w' = 1, with w # 1 has strictly positive imaginary part. If a, b, c are not all different then prove that (a + bw + cw²)³ is real Hint: preliminary working is covered in the workshop tasks!

1. Let a, b, c E R, and w' = 1, with w # 1 has strictly positive imaginary part. If a, b, c are not all different then prove that (a + bw + cw²)³ is real Hint: preliminary working is covered in the workshop tasks!

Advanced Engineering Mathematics
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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Let a,b,c∈R, and w^3=1, with w /= 1 has strictly positive imaginary part. If a,b,c are not all different then prove that (a+bw+cw^2)^3 is real.

1. Let a, b, c E R, and w 1, with w + 1 has strictly positive imaginary part. If a, b, c are not all different then prove that (a + b@ + co²)³ is real. Hint: preliminary working is covered in the workshop tasks!
Transcribed Image Text:1. Let a, b, c E R, and w 1, with w + 1 has strictly positive imaginary part. If a, b, c are not all different then prove that (a + b@ + co²)³ is real. Hint: preliminary working is covered in the workshop tasks!
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