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JoanaMattos
@JoanaMattos
December 2019
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Determine o numero complexo não nulo z tal que i.z^5 - (2z^4) = 0
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Determine o numero complexo não nulo z tal que i.z^5 - (2z^4) = 0
i.z^5 - (2z^4) = 0
i.z^5 - 2z^4 = 0 ==> z^4(i.z - 2) = 0
z^4 = 0 ==> z = 0
i.(a+ bi) - 2 = 0 ==> a.i + bi
² - 2 = 0 ==. a.i - b(-1) - 2 = 0
a.i + b - 2 = 0
a = 0
b - 2 = 0 ==> b = 2
Z = a + bi ==> z = 0 + 2i
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Determine o numero complexo não nulo z tal que i.z^5 - (2z^4) = 0
i.z^5 - (2z^4) = 0
i.z^5 - 2z^4 = 0 ==> z^4(i.z - 2) = 0
z^4 = 0 ==> z = 0
i.(a+ bi) - 2 = 0 ==> a.i + bi² - 2 = 0 ==. a.i - b(-1) - 2 = 0
a.i + b - 2 = 0
a = 0
b - 2 = 0 ==> b = 2
Z = a + bi ==> z = 0 + 2i