Whakaoti i te 12/3a^2+2=3

$$\frac { 12 } { 3 a ^ { 2 } + 2 } = 3$$

Whakaoti mō a

$$a=\frac{\sqrt{6}}{3}\approx 0.816496581$$

$$a=-\frac{\sqrt{6}}{3}\approx -0.816496581$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia ngā taha e rua o te whārite ki te 3a^{2}+2.

$$12=3\left(3a^{2}+2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 3a^{2}+2.

$$12=9a^{2}+6$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$9a^{2}+6=12$$

Tangohia te 6 mai i ngā taha e rua.

$$9a^{2}=12-6$$

Tangohia te 6 i te 12, ka 6.

$$9a^{2}=6$$

Whakawehea ngā taha e rua ki te 9.

$$a^{2}=\frac{6}{9}$$

Whakahekea te hautanga \frac{6}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

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

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

$$a=\frac{\sqrt{6}}{3} a=-\frac{\sqrt{6}}{3}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia ngā taha e rua o te whārite ki te 3a^{2}+2.

$$12=3\left(3a^{2}+2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 3a^{2}+2.

$$12=9a^{2}+6$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$9a^{2}+6=12$$

Tangohia te 12 mai i ngā taha e rua.

$$9a^{2}+6-12=0$$

Tangohia te 12 i te 6, ka -6.

$$9a^{2}-6=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 9 mō a, 0 mō b, me -6 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$a=\frac{0±\sqrt{0^{2}-4\times 9\left(-6\right)}}{2\times 9}$$

Pūrua 0.

$$a=\frac{0±\sqrt{-4\times 9\left(-6\right)}}{2\times 9}$$

Whakareatia -4 ki te 9.

$$a=\frac{0±\sqrt{-36\left(-6\right)}}{2\times 9}$$

Whakareatia -36 ki te -6.

$$a=\frac{0±\sqrt{216}}{2\times 9}$$

Tuhia te pūtakerua o te 216.

$$a=\frac{0±6\sqrt{6}}{2\times 9}$$

Whakareatia 2 ki te 9.

$$a=\frac{0±6\sqrt{6}}{18}$$

Nā, me whakaoti te whārite a=\frac{0±6\sqrt{6}}{18} ina he tāpiri te ±.

$$a=\frac{\sqrt{6}}{3}$$

Nā, me whakaoti te whārite a=\frac{0±6\sqrt{6}}{18} ina he tango te ±.

$$a=-\frac{\sqrt{6}}{3}$$

Kua oti te whārite te whakatau.

$$a=\frac{\sqrt{6}}{3} a=-\frac{\sqrt{6}}{3}$$