Issolvi {173-[47.73+0.1p^1.2+(1750+7825)/p]}P=0

$$\{ 173 - [ 47.73 + 0.1 p ^ { 1.2 } + \frac { ( 1750 + 7825 ) } { p } ] \} P = 0$$

Solvi għal P (complex solution)

$$\left\{\begin{matrix}\\P=0\text{, }&\text{unconditionally}\\P\in \mathrm{C}\text{, }&-10p^{2.2}+12527p-957500=0\text{ and }p\neq 0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'p.

$$\left(173-\left(47.73+0.1p^{1.2}+\frac{1750+7825}{p}\right)\right)Pp=0$$

Żid 1750 u 7825 biex tikseb 9575.

$$\left(173-\left(47.73+0.1p^{1.2}+\frac{9575}{p}\right)\right)Pp=0$$

Biex issib l-oppost ta' 47.73+0.1p^{1.2}+\frac{9575}{p}, sib l-oppost ta' kull terminu.

$$\left(173-47.73-0.1p^{1.2}-\frac{9575}{p}\right)Pp=0$$

Naqqas 47.73 minn 173 biex tikseb 125.27.

$$\left(125.27-0.1p^{1.2}-\frac{9575}{p}\right)Pp=0$$

Uża l-propjetà distributtiva biex timmultiplika 125.27-0.1p^{1.2}-\frac{9575}{p} b'P.

$$\left(125.27P-0.1p^{1.2}P-\frac{9575}{p}P\right)p=0$$

Esprimi \frac{9575}{p}P bħala frazzjoni waħda.

$$\left(125.27P-0.1p^{1.2}P-\frac{9575P}{p}\right)p=0$$

Uża l-propjetà distributtiva biex timmultiplika 125.27P-0.1p^{1.2}P-\frac{9575P}{p} b'p.

$$125.27Pp-0.1p^{1.2}Pp-\frac{9575P}{p}p=0$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 1.2 u 1 biex tikseb 2.2.

$$125.27Pp-0.1p^{2.2}P-\frac{9575P}{p}p=0$$

Esprimi \frac{9575P}{p}p bħala frazzjoni waħda.

$$125.27Pp-0.1p^{2.2}P-\frac{9575Pp}{p}=0$$

Annulla p fin-numeratur u d-denominatur.

$$125.27Pp-0.1p^{2.2}P-9575P=0$$

Ikkombina t-termini kollha li fihom P.

$$\left(125.27p-0.1p^{2.2}-9575\right)P=0$$

L-ekwazzjoni hija f'forma standard.

$$\left(-\frac{p^{2.2}}{10}+\frac{12527p}{100}-9575\right)P=0$$

Iddividi 0 b'125.27p-0.1p^{2.2}-9575.

$$P=0$$

Solvi għal P

$$\left\{\begin{matrix}\\P=0\text{, }&\text{unconditionally}\\P\in \mathrm{R}\text{, }&-10p^{2.2}+12527p-957500=0\text{ and }p\neq 0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'p.

$$\left(173-\left(47.73+0.1p^{1.2}+\frac{1750+7825}{p}\right)\right)Pp=0$$

Żid 1750 u 7825 biex tikseb 9575.

$$\left(173-\left(47.73+0.1p^{1.2}+\frac{9575}{p}\right)\right)Pp=0$$

Biex issib l-oppost ta' 47.73+0.1p^{1.2}+\frac{9575}{p}, sib l-oppost ta' kull terminu.

$$\left(173-47.73-0.1p^{1.2}-\frac{9575}{p}\right)Pp=0$$

Naqqas 47.73 minn 173 biex tikseb 125.27.

$$\left(125.27-0.1p^{1.2}-\frac{9575}{p}\right)Pp=0$$

Uża l-propjetà distributtiva biex timmultiplika 125.27-0.1p^{1.2}-\frac{9575}{p} b'P.

$$\left(125.27P-0.1p^{1.2}P-\frac{9575}{p}P\right)p=0$$

Esprimi \frac{9575}{p}P bħala frazzjoni waħda.

$$\left(125.27P-0.1p^{1.2}P-\frac{9575P}{p}\right)p=0$$

Uża l-propjetà distributtiva biex timmultiplika 125.27P-0.1p^{1.2}P-\frac{9575P}{p} b'p.

$$125.27Pp-0.1p^{1.2}Pp-\frac{9575P}{p}p=0$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 1.2 u 1 biex tikseb 2.2.

$$125.27Pp-0.1p^{2.2}P-\frac{9575P}{p}p=0$$

Esprimi \frac{9575P}{p}p bħala frazzjoni waħda.

$$125.27Pp-0.1p^{2.2}P-\frac{9575Pp}{p}=0$$

Annulla p fin-numeratur u d-denominatur.

$$125.27Pp-0.1p^{2.2}P-9575P=0$$

Ikkombina t-termini kollha li fihom P.

$$\left(125.27p-0.1p^{2.2}-9575\right)P=0$$

L-ekwazzjoni hija f'forma standard.

$$\left(-\frac{p^{2.2}}{10}+\frac{12527p}{100}-9575\right)P=0$$

Iddividi 0 b'125.27p-0.1p^{2.2}-9575.

$$P=0$$