Whakaoti i te 5+2sqrt{5}=p+xsqrt{5}

$$5+2 \sqrt{ 5 } = p+x \sqrt{ 5 }$$

Whakaoti mō x

$$x=-\frac{\sqrt{5}p}{5}+\sqrt{5}+2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$p+x\sqrt{5}=5+2\sqrt{5}$$

Tangohia te p mai i ngā taha e rua.

$$x\sqrt{5}=5+2\sqrt{5}-p$$

He hanga arowhānui tō te whārite.

$$\sqrt{5}x=-p+2\sqrt{5}+5$$

Whakawehea ngā taha e rua ki te \sqrt{5}.

$$\frac{\sqrt{5}x}{\sqrt{5}}=\frac{-p+2\sqrt{5}+5}{\sqrt{5}}$$

Mā te whakawehe ki te \sqrt{5} ka wetekia te whakareanga ki te \sqrt{5}.

$$x=\frac{-p+2\sqrt{5}+5}{\sqrt{5}}$$

Whakawehe 5+2\sqrt{5}-p ki te \sqrt{5}.

$$x=\frac{\sqrt{5}\left(-p+2\sqrt{5}+5\right)}{5}$$

Whakaoti mō p

$$p=\sqrt{5}\left(-x+\sqrt{5}+2\right)$$