math1818 math1818
  • 21-08-2017
  • Mathematics
contestada

7-4i divided by
2+i
how to solve it?

Respuesta :

Banabanana
Banabanana Banabanana
  • 21-08-2017
[tex] \cfrac{7-4i}{2+i}\\\\ = \cfrac{(7-4i)(2-i)}{(2+i)(2-i)} \\\\ =\cfrac{14-7i-8i-4}{4+1} \\\\= \cfrac{10-15i}{5} \\\\= \cfrac{5(2-3i)}{5} \\\\=2-3i[/tex]
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