An interesting one on Complex Numbers

Suppose the complex number z satisfies the equation
11z^{10}+10iz^9+10iz-11=0
Prove that |z|=1.

5 Answers

no takers?

341

Hari Shankar ·2009-08-30 22:36:55

I have seen the solution a dozen times already, so I disqualify myself :D

its an old question
divide the whole term by i to proceed and solve [1]

kaymant sir can you please post your solution

Solve for z^9 - and bring in a contradiction.....this is how kaymant sir did this!
Remember we've to prove |z|=1 - not find it!

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