Whakaoti i te 96+x/163+x=0.618

$$\frac { 96 + x } { 163 + x } = 0.618$$

Whakaoti mō x

$$x = \frac{2367}{191} = 12\frac{75}{191} \approx 12.392670157$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki -163 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x+163.

$$96+x=0.618\left(x+163\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 0.618 ki te x+163.

$$96+x=0.618x+100.734$$

Tangohia te 0.618x mai i ngā taha e rua.

$$96+x-0.618x=100.734$$

Pahekotia te x me -0.618x, ka 0.382x.

$$96+0.382x=100.734$$

Tangohia te 96 mai i ngā taha e rua.

$$0.382x=100.734-96$$

Tangohia te 96 i te 100.734, ka 4.734.

$$0.382x=4.734$$

Whakawehea ngā taha e rua ki te 0.382.

$$x=\frac{4.734}{0.382}$$

Whakarohaina te \frac{4.734}{0.382} mā te whakarea i te taurunga me te tauraro ki te 1000.

$$x=\frac{4734}{382}$$

Whakahekea te hautanga \frac{4734}{382} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{2367}{191}$$