Tīpoka ki ngā ihirangi matua
Whakaoti mō x
Tick mark Image
Graph

Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

x^{2}-64=0
Tangohia te 64 mai i ngā taha e rua.
\left(x-8\right)\left(x+8\right)=0
Whakaarohia te x^{2}-64. Tuhia anō te x^{2}-64 hei x^{2}-8^{2}. Ka taea te rerekētanga o ngā pūrua te whakatauwehe mā te ture: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
x=8 x=-8
Hei kimi otinga whārite, me whakaoti te x-8=0 me te x+8=0.
x=8 x=-8
Tuhia te pūtakerua o ngā taha e rua o te whārite.
x^{2}-64=0
Tangohia te 64 mai i ngā taha e rua.
x=\frac{0±\sqrt{0^{2}-4\left(-64\right)}}{2}
Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -64 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\left(-64\right)}}{2}
Pūrua 0.
x=\frac{0±\sqrt{256}}{2}
Whakareatia -4 ki te -64.
x=\frac{0±16}{2}
Tuhia te pūtakerua o te 256.
x=8
Nā, me whakaoti te whārite x=\frac{0±16}{2} ina he tāpiri te ±. Whakawehe 16 ki te 2.
x=-8
Nā, me whakaoti te whārite x=\frac{0±16}{2} ina he tango te ±. Whakawehe -16 ki te 2.
x=8 x=-8
Kua oti te whārite te whakatau.