emi1laheergeorgan emi1laheergeorgan

24-11-2016
Mathematics

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Write the expression in standard form.

6/(4-13i)

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nobillionaireNobley nobillionaireNobley

24-11-2016

6/(4 - 13i) = 6/(4 - 13i) * (4 + 13i)/(4 + 13i) = (24 + 78i)/(16 + 169) = 6/185 (4 + 13i)

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HomertheGenius HomertheGenius

25-11-2016

[tex] \frac{6}{4-13i}* \frac{4+13i}{4+13i}= \\ = \frac{6*(4+13i)}{16-169i ^{2} } = \\ = \frac{24+78i}{16+169}= \\ = \frac{24+78i}{185}= [/tex]
= 24/185 + 78/185 i

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