Whakaoti i te {173-[47.73+01p^12+9075/p]}P=0

$$\{ 173 - [ 47.73 + 01 p ^ { 12 } + \frac { 9075 } { p } ] \} P = 0$$

Whakaoti mō P

$$\left\{\begin{matrix}\\P=0\text{, }&\text{unconditionally}\\P\in \mathrm{R}\text{, }&p=\frac{907500}{12527}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$\left(173-\left(47.73+0\times 1p^{12}+\frac{9075}{p}\right)\right)Pp=0$$

Whakareatia te 0 ki te 1, ka 0.

$$\left(173-\left(47.73+0p^{12}+\frac{9075}{p}\right)\right)Pp=0$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$\left(173-\left(47.73+0+\frac{9075}{p}\right)\right)Pp=0$$

Tāpirihia te 47.73 ki te 0, ka 47.73.

$$\left(173-\left(47.73+\frac{9075}{p}\right)\right)Pp=0$$

Hei kimi i te tauaro o 47.73+\frac{9075}{p}, kimihia te tauaro o ia taurangi.

$$\left(173-47.73-\frac{9075}{p}\right)Pp=0$$

Tangohia te 47.73 i te 173, ka 125.27.

$$\left(125.27-\frac{9075}{p}\right)Pp=0$$

Whakamahia te āhuatanga tohatoha hei whakarea te 125.27-\frac{9075}{p} ki te P.

$$\left(125.27P-\frac{9075}{p}P\right)p=0$$

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

$$\left(125.27P-\frac{9075P}{p}\right)p=0$$

Whakamahia te āhuatanga tohatoha hei whakarea te 125.27P-\frac{9075P}{p} ki te p.

$$125.27Pp-\frac{9075P}{p}p=0$$

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

$$125.27Pp-\frac{9075Pp}{p}=0$$

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

$$125.27Pp-9075P=0$$

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

$$\left(125.27p-9075\right)P=0$$

He hanga arowhānui tō te whārite.

$$\left(\frac{12527p}{100}-9075\right)P=0$$

Whakawehe 0 ki te 125.27p-9075.

$$P=0$$

Whakaoti mō p

$$p = \frac{907500}{12527} = 72\frac{5556}{12527} = 72.4435219924962$$

$$p\neq 0$$