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Suppose m = 2 + 6i, and , |m+n| = 3√10 where n is a complex number.

a. What is the minimum value of the modulus of n?

b. Provide one example of the complex number, n. 

 Apr 26, 2020
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One example:  n = -2 + (-6 + 3√10)i

 

|n| = √[(-2)2 + (-6 + 3√10)2] = √[130 - 36√10] ≈ 4.02

 

Not sure I can prove this is a minimum though!

 Apr 26, 2020

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