Whakaoti i te (2a-1)=a+7/a+1

$$( 2 a - 1 ) = \frac { a + 7 } { a + 1 }$$

Whakaoti mō a

$$a=-2$$

$$a=2$$

Ngā Upane mā te Kimi Pūtakerua

Tē taea kia ōrite te tāupe a ki -1 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te a+1.

$$2a\left(a+1\right)+\left(a+1\right)\left(-1\right)=a+7$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2a ki te a+1.

$$2a^{2}+2a+\left(a+1\right)\left(-1\right)=a+7$$

Whakamahia te āhuatanga tohatoha hei whakarea te a+1 ki te -1.

$$2a^{2}+2a-a-1=a+7$$

Pahekotia te 2a me -a, ka a.

$$2a^{2}+a-1=a+7$$

Tangohia te a mai i ngā taha e rua.

$$2a^{2}+a-1-a=7$$

Pahekotia te a me -a, ka 0.

$$2a^{2}-1=7$$

Me tāpiri te 1 ki ngā taha e rua.

$$2a^{2}=7+1$$

Tāpirihia te 7 ki te 1, ka 8.

$$2a^{2}=8$$

Whakawehea ngā taha e rua ki te 2.

$$a^{2}=\frac{8}{2}$$

Whakawehea te 8 ki te 2, kia riro ko 4.

$$a^{2}=4$$

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

$$a=2 a=-2$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tē taea kia ōrite te tāupe a ki -1 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te a+1.

$$2a\left(a+1\right)+\left(a+1\right)\left(-1\right)=a+7$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2a ki te a+1.

$$2a^{2}+2a+\left(a+1\right)\left(-1\right)=a+7$$

Whakamahia te āhuatanga tohatoha hei whakarea te a+1 ki te -1.

$$2a^{2}+2a-a-1=a+7$$

Pahekotia te 2a me -a, ka a.

$$2a^{2}+a-1=a+7$$

Tangohia te a mai i ngā taha e rua.

$$2a^{2}+a-1-a=7$$

Pahekotia te a me -a, ka 0.

$$2a^{2}-1=7$$

Tangohia te 7 mai i ngā taha e rua.

$$2a^{2}-1-7=0$$

Tangohia te 7 i te -1, ka -8.

$$2a^{2}-8=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 2 mō a, 0 mō b, me -8 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$a=\frac{0±\sqrt{0^{2}-4\times 2\left(-8\right)}}{2\times 2}$$

Pūrua 0.

$$a=\frac{0±\sqrt{-4\times 2\left(-8\right)}}{2\times 2}$$

Whakareatia -4 ki te 2.

$$a=\frac{0±\sqrt{-8\left(-8\right)}}{2\times 2}$$

Whakareatia -8 ki te -8.

$$a=\frac{0±\sqrt{64}}{2\times 2}$$

Tuhia te pūtakerua o te 64.

$$a=\frac{0±8}{2\times 2}$$

Whakareatia 2 ki te 2.

$$a=\frac{0±8}{4}$$

Nā, me whakaoti te whārite a=\frac{0±8}{4} ina he tāpiri te ±. Whakawehe 8 ki te 4.

$$a=2$$

Nā, me whakaoti te whārite a=\frac{0±8}{4} ina he tango te ±. Whakawehe -8 ki te 4.

$$a=-2$$

Kua oti te whārite te whakatau.

$$a=2 a=-2$$