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\left(x-12\right)\left(x+12\right)=0
Whakaarohia te x^{2}-144. Tuhia anō te x^{2}-144 hei x^{2}-12^{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=12 x=-12
Hei kimi otinga whārite, me whakaoti te x-12=0 me te x+12=0.
x^{2}=144
Me tāpiri te 144 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.
x=12 x=-12
Tuhia te pūtakerua o ngā taha e rua o te whārite.
x^{2}-144=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=\frac{0±\sqrt{0^{2}-4\left(-144\right)}}{2}
Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -144 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\left(-144\right)}}{2}
Pūrua 0.
x=\frac{0±\sqrt{576}}{2}
Whakareatia -4 ki te -144.
x=\frac{0±24}{2}
Tuhia te pūtakerua o te 576.
x=12
Nā, me whakaoti te whārite x=\frac{0±24}{2} ina he tāpiri te ±. Whakawehe 24 ki te 2.
x=-12
Nā, me whakaoti te whārite x=\frac{0±24}{2} ina he tango te ±. Whakawehe -24 ki te 2.
x=12 x=-12
Kua oti te whārite te whakatau.