Whakaoti i te left(173-4773+01p^12+1750+7825/pright)P=0

$$\left( 173-4773+01 { p }^{ 12 } + \frac{ 1750+7825 }{ p } \right) P = 0$$

Whakaoti mō P (complex solution)

$$\left\{\begin{matrix}P=0\text{, }&p\neq 0\\P\in \mathrm{C}\text{, }&p=\frac{383}{184}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$\left(173-4773+0\times 1p^{12}+\frac{1750+7825}{p}\right)Pp=0$$

Tangohia te 4773 i te 173, ka -4600.

$$\left(-4600+0\times 1p^{12}+\frac{1750+7825}{p}\right)Pp=0$$

Whakareatia te 0 ki te 1, ka 0.

$$\left(-4600+0p^{12}+\frac{1750+7825}{p}\right)Pp=0$$

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

$$\left(-4600+0+\frac{1750+7825}{p}\right)Pp=0$$

Tāpirihia te -4600 ki te 0, ka -4600.

$$\left(-4600+\frac{1750+7825}{p}\right)Pp=0$$

Tāpirihia te 1750 ki te 7825, ka 9575.

$$\left(-4600+\frac{9575}{p}\right)Pp=0$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia -4600 ki te \frac{p}{p}.

$$\left(-\frac{4600p}{p}+\frac{9575}{p}\right)Pp=0$$

Tā te mea he rite te tauraro o -\frac{4600p}{p} me \frac{9575}{p}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-4600p+9575}{p}Pp=0$$

Tuhia te \frac{-4600p+9575}{p}P hei hautanga kotahi.

$$\frac{\left(-4600p+9575\right)P}{p}p=0$$

Tuhia te \frac{\left(-4600p+9575\right)P}{p}p hei hautanga kotahi.

$$\frac{\left(-4600p+9575\right)Pp}{p}=0$$

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

$$P\left(-4600p+9575\right)=0$$

Whakamahia te āhuatanga tohatoha hei whakarea te P ki te -4600p+9575.

$$-4600Pp+9575P=0$$

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

$$\left(-4600p+9575\right)P=0$$

He hanga arowhānui tō te whārite.

$$\left(9575-4600p\right)P=0$$

Whakawehe 0 ki te -4600p+9575.

$$P=0$$

Whakaoti mō P

$$\left\{\begin{matrix}P=0\text{, }&p\neq 0\\P\in \mathrm{R}\text{, }&p=\frac{383}{184}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$\left(173-4773+0\times 1p^{12}+\frac{1750+7825}{p}\right)Pp=0$$

Tangohia te 4773 i te 173, ka -4600.

$$\left(-4600+0\times 1p^{12}+\frac{1750+7825}{p}\right)Pp=0$$

Whakareatia te 0 ki te 1, ka 0.

$$\left(-4600+0p^{12}+\frac{1750+7825}{p}\right)Pp=0$$

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

$$\left(-4600+0+\frac{1750+7825}{p}\right)Pp=0$$

Tāpirihia te -4600 ki te 0, ka -4600.

$$\left(-4600+\frac{1750+7825}{p}\right)Pp=0$$

Tāpirihia te 1750 ki te 7825, ka 9575.

$$\left(-4600+\frac{9575}{p}\right)Pp=0$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia -4600 ki te \frac{p}{p}.

$$\left(-\frac{4600p}{p}+\frac{9575}{p}\right)Pp=0$$

Tā te mea he rite te tauraro o -\frac{4600p}{p} me \frac{9575}{p}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-4600p+9575}{p}Pp=0$$

Tuhia te \frac{-4600p+9575}{p}P hei hautanga kotahi.

$$\frac{\left(-4600p+9575\right)P}{p}p=0$$

Tuhia te \frac{\left(-4600p+9575\right)P}{p}p hei hautanga kotahi.

$$\frac{\left(-4600p+9575\right)Pp}{p}=0$$

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

$$P\left(-4600p+9575\right)=0$$

Whakamahia te āhuatanga tohatoha hei whakarea te P ki te -4600p+9575.

$$-4600Pp+9575P=0$$

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

$$\left(-4600p+9575\right)P=0$$

He hanga arowhānui tō te whārite.

$$\left(9575-4600p\right)P=0$$

Whakawehe 0 ki te -4600p+9575.

$$P=0$$

Whakaoti mō p

$$\left\{\begin{matrix}\\p=\frac{383}{184}\text{, }&\text{unconditionally}\\p\neq 0\text{, }&P=0\end{matrix}\right.$$