2 Questions:(adsbygoogle = window.adsbygoogle || []).push({});

(1.)Carry out the indicated calculation:

[tex](\frac{-6+2i}{1-8i})^2[/tex]

=[tex]\frac{36-24i+4i^2}{1-16i+64i^2}[/tex]

since [tex]i^2=-1[/tex]

=[tex]\frac{32-24i}{-63-16i}[\frac{-63+16i}{-63+16i}][/tex]

I carry out the math and get an answer of:

[tex]\frac{-2400+1512i}{4225}[/tex]

I must be doing something wrong with the conjugate, as far as i can tell it looks right, but for some reason my signs should be switched to give me the correct answer of:

[tex]\frac{-1632+2024i}{4225}[/tex]

(2.)determine the set of all z satisfying the given equation or inequality:

[tex]|z-2i|<=|z+1+i| & |z|> 4[/tex]

I solved this one down to:

[tex]x^2+y^2-4y+4<=x^2+y^2+2x+2y+2[/tex] & [tex]x^2+y^2>4[/tex]

what do I do to simplify it?

Thanks.

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# Homework Help: Complex Numbers

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