Friday, April 19, 2019

Algebra with complex numbers

Let m be the minimum value of |z|, where z is a complex number such that

|z3i|+|z4|=5.


Then m can be written in the form ab, where a and b are relatively prime positive integers. Find the value of a+b.



I cannot seem to get rid of the absolute values, making it impossible to solve this. Is it possible for someone to give me some help?



Thank you!

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