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Let z be a complex number satisfying 12|z|² = 2|z + 2|² + |z² + 1|² + 31. What is the value of z +-? (А) —2 (В) —1 (D) 1 (E) 4

Let z be a complex number satisfying 12|z|² = 2|z + 2|² + |z² + 1|² + 31. What is the value of z +-? (А) —2 (В) —1 (D) 1 (E) 4

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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6 Let z be a complex number satisfying 12|2|² = 2|z + 2|² + |z² + 1|2 + 31. What is the value of z +-? (А) —2 (В) —1 (D) 1 (E) 4
Transcribed Image Text:6 Let z be a complex number satisfying 12|2|² = 2|z + 2|² + |z² + 1|2 + 31. What is the value of z +-? (А) —2 (В) —1 (D) 1 (E) 4
Expert Solution
Step 1

Given that

Let z be a complex number satisfying 

12z2=2z+22+z2+12+31

To find the value of z+6z

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