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iop360
 2 years ago
find all complex numbers z such that z^2 = 7  24i
give your answer in the form a+bi
iop360
 2 years ago
find all complex numbers z such that z^2 = 7  24i give your answer in the form a+bi

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myko
 2 years ago
Best 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

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0apparently im only supposed to get values of 4 and 4 for a...i get something different

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0because first i isolate for b = 12/a then i get 7 = (a(12/a))(a+(12/a))

myko
 2 years ago
Best ResponseYou've already chosen the best response.1a=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

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0b^2 = 16 b^2 = 9 cant take b^2 = 16

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0ok, i got it now...plug +/ 3 in equation
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