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Solve the following equation in the complex number system. Express solutions in both polar and rectangular form. 4 X - 4096 i = 0

Solve the following equation in the complex number system. Express solutions in both polar and rectangular form. 4 X - 4096 i = 0

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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Question
Solve the following equation in the complex number system. Express solutions in both polar and rectangular form. 4 x* - 4096 i =0 Write the solutions as complex numbers in polar form. Choose the correct answer below. O A. 8(cos 67.5° + i sin 67.5°), 8(cos 157.5° + i sin 157.5°), 8(cos 202.5° + i sin 202.5°), 8(cos 292.5° + i sin 292.5°) O B. 8(cos 22.5° + i sin 22.5°), 8(cos 112.5° + i sin 112.5°), 8(cos 202.5° + i sin 202.5°), 8(cos 292.5° + i sin 292.5°) Oc. 8(cos 67.5° + i sin 67.5°), 8(cos 157.5° + i sin 157.5°), 8(cos 247.5° + i sin 247.5°), 8(cos 337.5° + i sin 337.5°) O D. 8(cos 22.5° + i sin 22.5°), 8(cos 247.5° + i sin 247.5°), 8(cos 202.5° + i sin 202.5°), 8(cos 337.5° + i sin 337.5°)
Transcribed Image Text:Solve the following equation in the complex number system. Express solutions in both polar and rectangular form. 4 x* - 4096 i =0 Write the solutions as complex numbers in polar form. Choose the correct answer below. O A. 8(cos 67.5° + i sin 67.5°), 8(cos 157.5° + i sin 157.5°), 8(cos 202.5° + i sin 202.5°), 8(cos 292.5° + i sin 292.5°) O B. 8(cos 22.5° + i sin 22.5°), 8(cos 112.5° + i sin 112.5°), 8(cos 202.5° + i sin 202.5°), 8(cos 292.5° + i sin 292.5°) Oc. 8(cos 67.5° + i sin 67.5°), 8(cos 157.5° + i sin 157.5°), 8(cos 247.5° + i sin 247.5°), 8(cos 337.5° + i sin 337.5°) O D. 8(cos 22.5° + i sin 22.5°), 8(cos 247.5° + i sin 247.5°), 8(cos 202.5° + i sin 202.5°), 8(cos 337.5° + i sin 337.5°)
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