Whakaoti i te (A):P(A)=1:2f

$$( A ) : P ( A ) = 1 : 2 f$$

Whakaoti mō P

$$\left\{\begin{matrix}P=\frac{2A^{2}}{f}\text{, }&A\neq 0\text{ and }f\neq 0\\P\neq 0\text{, }&f=0\text{ and }A=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe P ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 2P, arā, te tauraro pātahi he tino iti rawa te kitea o P,2.

$$2AA=\frac{1}{2}f\times 2P$$

Whakareatia te A ki te A, ka A^{2}.

$$2A^{2}=\frac{1}{2}f\times 2P$$

Whakareatia te \frac{1}{2} ki te 2, ka 1.

$$2A^{2}=fP$$

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

$$fP=2A^{2}$$

Whakawehea ngā taha e rua ki te f.

$$\frac{fP}{f}=\frac{2A^{2}}{f}$$

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

$$P=\frac{2A^{2}}{f}$$

Tē taea kia ōrite te tāupe P ki 0.

$$P=\frac{2A^{2}}{f}\text{, }P\neq 0$$

Whakaoti mō A

$$A=\frac{\sqrt{2Pf}}{2}$$

$$A=-\frac{\sqrt{2Pf}}{2}\text{, }\left(f\geq 0\text{ and }P>0\right)\text{ or }\left(f\leq 0\text{ and }P<0\right)$$