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find all complex numbers z such that z^2 = 7  24i
give your answer in the form a+bi
 one year ago
 one year ago
find all complex numbers z such that z^2 = 7  24i give your answer in the form a+bi
 one year ago
 one year ago

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mykoBest ResponseYou've already chosen the best response.1
(a+bi)(a+bi)=724i a^2+2abib^2=724i now identify real and imaginary parts: a^2b^2=7 2ab=24 and solve this system for a and b
 one year ago

iop360Best ResponseYou've already chosen the best response.0
apparently im only supposed to get values of 4 and 4 for a...i get something different
 one year ago

iop360Best ResponseYou've already chosen the best response.0
because first i isolate for b = 12/a then i get 7 = (a(12/a))(a+(12/a))
 one year ago

mykoBest ResponseYou've already chosen the best response.1
a=12/b substitute in 1º equation: 144/b^2b^2=7 144/b^2=7+b^2 144=7b^2+b^4 new variable: b^2=x 144=7x+x^2 or x^2+7x144=0 solve this
 one year ago

iop360Best ResponseYou've already chosen the best response.0
b^2 = 16 b^2 = 9 cant take b^2 = 16
 one year ago

iop360Best ResponseYou've already chosen the best response.0
ok, i got it now...plug +/ 3 in equation
 one year ago
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