Whakaoti i te x^2div3*2=6

$${ x }^{ 2 } \div 3 \times 2=6$$

Whakaoti mō x

$$x=3$$

$$x=-3$$

Ngā Hipanga Whakamahi Rerekētanga o ngā Pūrua

Whakawehea ngā taha e rua ki te 2.

$$\frac{x^{2}}{3}=\frac{6}{2}$$

Whakawehea te 6 ki te 2, kia riro ko 3.

$$\frac{x^{2}}{3}=3$$

Me whakarea ngā taha e rua ki te 3.

$$x^{2}=3\times 3$$

Whakareatia te 3 ki te 3, ka 9.

$$x^{2}=9$$

Tangohia te 9 mai i ngā taha e rua.

$$x^{2}-9=0$$

Whakaarohia te x^{2}-9. Tuhia anō te x^{2}-9 hei x^{2}-3^{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).

$$\left(x-3\right)\left(x+3\right)=0$$

Hei kimi otinga whārite, me whakaoti te x-3=0 me te x+3=0.

$$x=3 x=-3$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 2.

$$\frac{x^{2}}{3}=\frac{6}{2}$$

Whakawehea te 6 ki te 2, kia riro ko 3.

$$\frac{x^{2}}{3}=3$$

Me whakarea ngā taha e rua ki te 3.

$$x^{2}=3\times 3$$

Whakareatia te 3 ki te 3, ka 9.

$$x^{2}=9$$

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

$$x=3 x=-3$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakawehea ngā taha e rua ki te 2.

$$\frac{x^{2}}{3}=\frac{6}{2}$$

Whakawehea te 6 ki te 2, kia riro ko 3.

$$\frac{x^{2}}{3}=3$$

Me whakarea ngā taha e rua ki te 3.

$$x^{2}=3\times 3$$

Whakareatia te 3 ki te 3, ka 9.

$$x^{2}=9$$

Tangohia te 9 mai i ngā taha e rua.

$$x^{2}-9=0$$

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}.

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

Pūrua 0.

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

Whakareatia -4 ki te -9.

$$x=\frac{0±\sqrt{36}}{2}$$

Tuhia te pūtakerua o te 36.

$$x=\frac{0±6}{2}$$

Nā, me whakaoti te whārite x=\frac{0±6}{2} ina he tāpiri te ±. Whakawehe 6 ki te 2.

$$x=3$$

Nā, me whakaoti te whārite x=\frac{0±6}{2} ina he tango te ±. Whakawehe -6 ki te 2.

$$x=-3$$

Kua oti te whārite te whakatau.

$$x=3 x=-3$$