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1.     Suppose m = 2 + 6i, and $$|m+n|=3\sqrt{10}$$ , 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.

May 7, 2020

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Suppose $$m = 2 + 6i$$, and $$|m+n|=3\sqrt{10}$$, 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, $$n$$.

a.
The minimum value of the modulus of $$n$$ is $$\mathbf{\sqrt{10}}$$

b.
One example of the complex number $$n$$ is $$\mathbf{ 1+3i }$$

May 7, 2020