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FP2: Complex numbers (finding the roots)

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I've done the proof part, but I'm not sure how to do the part I've put a box around :/ All I've figured out that there will be 6 roots and theta will equal pi/4
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Avatar for TeeEm
TeeEm
19
Original post by creativebuzz
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I've done the proof part, but I'm not sure how to do the part I've put a box around :/ All I've figured out that there will be 6 roots and theta will equal pi/4


what about the values of n and theta?
Original post by TeeEm
what about the values of n and theta?


Yeah I said theta would be pi/4

N would equal 3
Reply 3
Avatar for TeeEm
TeeEm
19
Original post by creativebuzz
Yeah I said theta would be pi/4

N would equal 3


Isn't obvious then that

either

z3 = eiπ/4

or

z3 = e-iπ/4
Original post by TeeEm
Isn't obvious then that

either

z3 = eiπ/4

or

z3 = e-iπ/4


Maybe it's both
z3 = eiπ/4 AND z3 = e-iπ/4

because you should have 6 roots in the end
Original post by TeeEm
Isn't obvious then that

either

z3 = eiπ/4

or

z3 = e-iπ/4


I'll try it out, in the meantime, how would you do this question? I can do the represent part, but I can't do the whole "show that |z-4|/|z-1| is a constant" etc
Reply 6
Avatar for TeeEm
TeeEm
19
Original post by creativebuzz
Maybe it's both
z3 = eiπ/4 AND z3 = e-iπ/4

because you should have 6 roots in the end


thank you for letting me know it has 6 roots. Life here is a constant education

Original post by creativebuzz
I'll try it out, in the meantime, how would you do this question? I can do the represent part, but I can't do the whole "show that |z-4|/|z-1| is a constant" etc


In the meantime I have to do my own work

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