Whakaoti i te 9s^2-729=0

$$9 s ^ { 2 } - 729 = 0$$

Whakaoti mō s

$$s=9$$

$$s=-9$$

Ngā Hipanga Whakamahi Rerekētanga o ngā Pūrua

Whakawehea ngā taha e rua ki te 9.

$$s^{2}-81=0$$

Whakaarohia te s^{2}-81. Tuhia anō te s^{2}-81 hei s^{2}-9^{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).

$$\left(s-9\right)\left(s+9\right)=0$$

Hei kimi otinga whārite, me whakaoti te s-9=0 me te s+9=0.

$$s=9 s=-9$$

Ngā Upane mā te Kimi Pūtakerua

Me tāpiri te 729 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$9s^{2}=729$$

Whakawehea ngā taha e rua ki te 9.

$$s^{2}=\frac{729}{9}$$

Whakawehea te 729 ki te 9, kia riro ko 81.

$$s^{2}=81$$

Tuhia te pūtakerua o ngā taha e rua o te whārite.

$$s=9 s=-9$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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.

$$9s^{2}-729=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 9 mō a, 0 mō b, me -729 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$s=\frac{0±\sqrt{0^{2}-4\times 9\left(-729\right)}}{2\times 9}$$

Pūrua 0.

$$s=\frac{0±\sqrt{-4\times 9\left(-729\right)}}{2\times 9}$$

Whakareatia -4 ki te 9.

$$s=\frac{0±\sqrt{-36\left(-729\right)}}{2\times 9}$$

Whakareatia -36 ki te -729.

$$s=\frac{0±\sqrt{26244}}{2\times 9}$$

Tuhia te pūtakerua o te 26244.

$$s=\frac{0±162}{2\times 9}$$

Whakareatia 2 ki te 9.

$$s=\frac{0±162}{18}$$

Nā, me whakaoti te whārite s=\frac{0±162}{18} ina he tāpiri te ±. Whakawehe 162 ki te 18.

$$s=9$$

Nā, me whakaoti te whārite s=\frac{0±162}{18} ina he tango te ±. Whakawehe -162 ki te 18.

$$s=-9$$

Kua oti te whārite te whakatau.

$$s=9 s=-9$$