Tīpoka ki ngā ihirangi matua
Whakaoti mō x (complex solution)
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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

x^{2}+9=0
Tāpirihia te -1 ki te 10, ka 9.
x^{2}=-9
Tangohia te 9 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.
x=3i x=-3i
Kua oti te whārite te whakatau.
x^{2}+9=0
Tāpirihia te -1 ki te 10, ka 9.
x=\frac{0±\sqrt{0^{2}-4\times 9}}{2}
Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me 9 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\times 9}}{2}
Pūrua 0.
x=\frac{0±\sqrt{-36}}{2}
Whakareatia -4 ki te 9.
x=\frac{0±6i}{2}
Tuhia te pūtakerua o te -36.
x=3i
Nā, me whakaoti te whārite x=\frac{0±6i}{2} ina he tāpiri te ±.
x=-3i
Nā, me whakaoti te whārite x=\frac{0±6i}{2} ina he tango te ±.
x=3i x=-3i
Kua oti te whārite te whakatau.