Based on the question in the picture, which option is correct. a,b,c or d! There is ONLY ONE correct option. I WILL SAY IT AGAIN as you guys didnt read properlly last time. BASED ON THE QUESTION IN THE PICTURE, there are 4 options, a,b,c or d. Which is the correct option for the question. THERE IS ONLY 1 correct option. Every complex number a has a 4-bth root in C That is, thereexists a complex Mumber w such that w4=a.@ Trde. However, if & was replaced by J it would not be trdeany more, because there is no general for mula to solve yoly no-micl equetions of degree J.O True. This is an immediate consejuence of De Moinre's Thenren.© False. According to De Moivre's Theore m, this is only truewhen a is non Zero.(d) False. Whenmakingthe ansatz W=atbà, the real and im a-ginary parbs of wH= (at bà)* are degree 4 poly Momiuls in aand b with real coeffi cients. Because a and b must be realnumbers, but not all degree 4 polymomiels over R have a realroot, the stabement does not hold in general.

Name: Based on the question in the picture, which option is correct. a,b,c o
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Description: Based on the question in the picture, which option is correct. a,b,c or d! There is ONLY ONE correct option. I WILL SAY IT AGAIN as you guys didnt read properlly last time. BASED ON THE QUESTION IN THE PICTURE, there are 4 options, a,b,c or d. Which

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Answered: Every complex number a has a 4-bth root…

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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Based on the question in the picture, which option is correct. a,b,c or d! There is ONLY ONE correct option. I WILL SAY IT AGAIN as you guys didnt read properlly last time. BASED ON THE QUESTION IN THE PICTURE, there are 4 options, a,b,c or d. Which is the correct option for the question. THERE IS ONLY 1 correct option.

Every complex number a has a 4-bth root in C That is, there
exists a complex Mumber w such that w4=a.
@ Trde. However, if & was replaced by J it would not be trde
any more, because there is no general for mula to solve yoly no-
micl equetions of degree J.
O True. This is an immediate consejuence of De Moinre's Thenren.
© False. According to De Moivre's Theore m, this is only true
when a is non Zero.
(d) False. When
making
the ansatz W=atbà, the real and im a-
ginary parbs of wH= (at bà)* are degree 4 poly Momiuls in a
and b with real coeffi cients. Because a and b must be real
numbers, but not all degree 4 polymomiels over R have a real
root, the stabement does not hold in general.

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