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}+10=9
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
x^{2}=9-10
Tangohia te 10 mai i ngā taha e rua.
x^{2}=-1
Tangohia te 10 i te 9, ka -1.
x=i x=-i
Kua oti te whārite te whakatau.
x^{2}+10=9
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
x^{2}+10-9=0
Tangohia te 9 mai i ngā taha e rua.
x^{2}+1=0
Tangohia te 9 i te 10, ka 1.
x=\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=\frac{0±\sqrt{-4}}{2}
Pūrua 0.
x=\frac{0±2i}{2}
Tuhia te pūtakerua o te -4.
x=i
Nā, me whakaoti te whārite x=\frac{0±2i}{2} ina he tāpiri te ±.
x=-i
Nā, me whakaoti te whārite x=\frac{0±2i}{2} ina he tango te ±.
x=i x=-i
Kua oti te whārite te whakatau.