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anonymous
 4 years ago
the value z, if z satisfies the equation a(z+a^2)=2bz, where a =3.679+(2.699)i and b = 0.474 + (0.743)i, is: .............?
anonymous
 4 years ago
the value z, if z satisfies the equation a(z+a^2)=2bz, where a =3.679+(2.699)i and b = 0.474 + (0.743)i, is: .............?

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0where i = \[\sqrt{1}\]

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1\[\large z = \frac{2ba^{3}}{a+1} = \frac{29.657 +88.446i}{2.6792.699i}\] \[\large z = \frac{159.265 316.991i}{14.46}\] \[\large z = 11.014 21.92i\] \[\large z = \sqrt{601.79} = 24.53\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0thanks! perfect, it's been a while since i've done imaginary numbers

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1yeah these numbers are kinda tedious to do by hand...i cheated with wolfram

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1Basically remember that: if z = a+bi z = sqrt[(a+bi)(abi)]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0okay noted, thanks again. love wolfram
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