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Whakaoti mō x_1
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Tohaina

x_{1}^{2}=-1
Tangohia te 1 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.
x_{1}=i x_{1}=-i
Kua oti te whārite te whakatau.
x_{1}^{2}+1=0
Ko ngā tikanga tātai pūrua pēnei i tēnei nā, me te kīanga tau x^{2} engari kāore he kīanga tau x, ka taea tonu te whakaoti mā te whakamahi i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ina tuhia ki te tānga ngahuru: ax^{2}+bx+c=0.
x_{1}=\frac{0±\sqrt{0^{2}-4}}{2}
Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me 1 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x_{1}=\frac{0±\sqrt{-4}}{2}
Pūrua 0.
x_{1}=\frac{0±2i}{2}
Tuhia te pūtakerua o te -4.
x_{1}=i
Nā, me whakaoti te whārite x_{1}=\frac{0±2i}{2} ina he tāpiri te ±.
x_{1}=-i
Nā, me whakaoti te whārite x_{1}=\frac{0±2i}{2} ina he tango te ±.
x_{1}=i x_{1}=-i
Kua oti te whārite te whakatau.