Whakaoti i te {173-[147.73+0.1p^1.2+(1750+7325)/p]}P=0

$$\{ 173 - [ 147.73 + 0.1 p ^ { 1.2 } + \frac { ( 1750 + 7325 ) } { p } ] \} P = 0$$

Whakaoti mō P

$$\left\{\begin{matrix}\\P=0\text{, }&\text{unconditionally}\\P\in \mathrm{R}\text{, }&-10p^{2.2}+2527p-907500=0\text{ and }p\neq 0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te p.

$$\left(173-\left(147.73+0.1p^{1.2}+\frac{1750+7325}{p}\right)\right)Pp=0$$

Tāpirihia te 1750 ki te 7325, ka 9075.

$$\left(173-\left(147.73+0.1p^{1.2}+\frac{9075}{p}\right)\right)Pp=0$$

Hei kimi i te tauaro o 147.73+0.1p^{1.2}+\frac{9075}{p}, kimihia te tauaro o ia taurangi.

$$\left(173-147.73-0.1p^{1.2}-\frac{9075}{p}\right)Pp=0$$

Tangohia te 147.73 i te 173, ka 25.27.

$$\left(25.27-0.1p^{1.2}-\frac{9075}{p}\right)Pp=0$$

Whakamahia te āhuatanga tohatoha hei whakarea te 25.27-0.1p^{1.2}-\frac{9075}{p} ki te P.

$$\left(25.27P-0.1p^{1.2}P-\frac{9075}{p}P\right)p=0$$

Tuhia te \frac{9075}{p}P hei hautanga kotahi.

$$\left(25.27P-0.1p^{1.2}P-\frac{9075P}{p}\right)p=0$$

Whakamahia te āhuatanga tohatoha hei whakarea te 25.27P-0.1p^{1.2}P-\frac{9075P}{p} ki te p.

$$25.27Pp-0.1p^{1.2}Pp-\frac{9075P}{p}p=0$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1.2 me te 1 kia riro ai te 2.2.

$$25.27Pp-0.1p^{2.2}P-\frac{9075P}{p}p=0$$

Tuhia te \frac{9075P}{p}p hei hautanga kotahi.

$$25.27Pp-0.1p^{2.2}P-\frac{9075Pp}{p}=0$$

Me whakakore tahi te p i te taurunga me te tauraro.

$$25.27Pp-0.1p^{2.2}P-9075P=0$$

Pahekotia ngā kīanga tau katoa e whai ana i te P.

$$\left(25.27p-0.1p^{2.2}-9075\right)P=0$$

He hanga arowhānui tō te whārite.

$$\left(-\frac{p^{2.2}}{10}+\frac{2527p}{100}-9075\right)P=0$$

Whakawehe 0 ki te 25.27p-0.1p^{2.2}-9075.

$$P=0$$