Whakaoti i te 100=F+F1.618+F2.618

$$100 = F+F1.618+F2.618$$

Whakaoti mō F

$$F=-\frac{309F_{1}}{500}-\frac{309F_{2}}{500}+100$$

Ngā Upane Otinga

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

$$F+F_{1}\times 0.618+F_{2}\times 0.618=100$$

Tangohia te F_{1}\times 0.618 mai i ngā taha e rua.

$$F+F_{2}\times 0.618=100-F_{1}\times 0.618$$

Tangohia te F_{2}\times 0.618 mai i ngā taha e rua.

$$F=100-F_{1}\times 0.618-F_{2}\times 0.618$$

Whakareatia te -1 ki te 0.618, ka -0.618.

$$F=100-0.618F_{1}-F_{2}\times 0.618$$

Whakareatia te -1 ki te 0.618, ka -0.618.

$$F=100-0.618F_{1}-0.618F_{2}$$

Whakaoti mō F_1

$$F_{1}=-\frac{500F}{309}-F_{2}+\frac{50000}{309}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$F+F_{1}\times 0.618+F_{2}\times 0.618=100$$

Tangohia te F mai i ngā taha e rua.

$$F_{1}\times 0.618+F_{2}\times 0.618=100-F$$

Tangohia te F_{2}\times 0.618 mai i ngā taha e rua.

$$F_{1}\times 0.618=100-F-F_{2}\times 0.618$$

Whakareatia te -1 ki te 0.618, ka -0.618.

$$F_{1}\times 0.618=100-F-0.618F_{2}$$

He hanga arowhānui tō te whārite.

$$0.618F_{1}=-\frac{309F_{2}}{500}-F+100$$

Whakawehea ngā taha e rua o te whārite ki te 0.618, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{0.618F_{1}}{0.618}=\frac{-\frac{309F_{2}}{500}-F+100}{0.618}$$

Mā te whakawehe ki te 0.618 ka wetekia te whakareanga ki te 0.618.

$$F_{1}=\frac{-\frac{309F_{2}}{500}-F+100}{0.618}$$

Whakawehe 100-F-\frac{309F_{2}}{500} ki te 0.618 mā te whakarea 100-F-\frac{309F_{2}}{500} ki te tau huripoki o 0.618.

$$F_{1}=-\frac{500F}{309}-F_{2}+\frac{50000}{309}$$