Whakaoti i te 2/x^2-8x+12-1/x-2=1/6x-36

$$\frac { 2 } { x ^ { 2 } - 8 x + 12 } - \frac { 1 } { x - 2 } = \frac { 1 } { 6 x - 36 }$$

Whakaoti mō x

$$x = \frac{50}{7} = 7\frac{1}{7} \approx 7.142857143$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki tētahi o ngā uara 2,6 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 6\left(x-6\right)\left(x-2\right), arā, te tauraro pātahi he tino iti rawa te kitea o x^{2}-8x+12,x-2,6x-36.

$$6\times 2-\left(6x-36\right)=x-2$$

Whakareatia te 6 ki te 2, ka 12.

$$12-\left(6x-36\right)=x-2$$

Hei kimi i te tauaro o 6x-36, kimihia te tauaro o ia taurangi.

$$12-6x+36=x-2$$

Tāpirihia te 12 ki te 36, ka 48.

$$48-6x=x-2$$

Tangohia te x mai i ngā taha e rua.

$$48-6x-x=-2$$

Pahekotia te -6x me -x, ka -7x.

$$48-7x=-2$$

Tangohia te 48 mai i ngā taha e rua.

$$-7x=-2-48$$

Tangohia te 48 i te -2, ka -50.

$$-7x=-50$$

Whakawehea ngā taha e rua ki te -7.

$$x=\frac{-50}{-7}$$

Ka taea te hautanga \frac{-50}{-7} te whakamāmā ki te \frac{50}{7} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{50}{7}$$