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

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

Datrys ar gyfer P (complex solution)

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

Camau ar gyfer Datrys Hafaliad Llinol

Lluoswch ddwy ochr yr hafaliad â p.

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

Adio 1750 a 7325 i gael 9075.

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

I ddod o hyd i wrthwyneb 147.73+0.1p^{1.2}+\frac{9075}{p}, dewch o hyd i wrthwyneb pob term.

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

Tynnu 147.73 o 173 i gael 25.27.

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

Defnyddio’r briodwedd ddosbarthu i luosi 25.27-0.1p^{1.2}-\frac{9075}{p} â P.

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

Mynegwch \frac{9075}{p}P fel ffracsiwn unigol.

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

Defnyddio’r briodwedd ddosbarthu i luosi 25.27P-0.1p^{1.2}P-\frac{9075P}{p} â p.

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

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch 1.2 a 1 i gael 2.2.

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

Mynegwch \frac{9075P}{p}p fel ffracsiwn unigol.

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

Canslo p yn y rhifiadur a'r enwadur.

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

Cyfuno pob term sy'n cynnwys P.

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

Mae'r hafaliad yn y ffurf safonol.

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

Rhannwch 0 â 25.27p-0.1p^{2.2}-9075.

$$P=0$$

Datrys ar gyfer P

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

Camau ar gyfer Datrys Hafaliad Llinol

Lluoswch ddwy ochr yr hafaliad â p.

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

Adio 1750 a 7325 i gael 9075.

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

I ddod o hyd i wrthwyneb 147.73+0.1p^{1.2}+\frac{9075}{p}, dewch o hyd i wrthwyneb pob term.

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

Tynnu 147.73 o 173 i gael 25.27.

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

Defnyddio’r briodwedd ddosbarthu i luosi 25.27-0.1p^{1.2}-\frac{9075}{p} â P.

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

Mynegwch \frac{9075}{p}P fel ffracsiwn unigol.

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

Defnyddio’r briodwedd ddosbarthu i luosi 25.27P-0.1p^{1.2}P-\frac{9075P}{p} â p.

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

Er mwyn lluosi pwerau sy’n rhannu’r un sail, adiwch eu esbonyddion. Adiwch 1.2 a 1 i gael 2.2.

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

Mynegwch \frac{9075P}{p}p fel ffracsiwn unigol.

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

Canslo p yn y rhifiadur a'r enwadur.

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

Cyfuno pob term sy'n cynnwys P.

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

Mae'r hafaliad yn y ffurf safonol.

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

Rhannwch 0 â 25.27p-0.1p^{2.2}-9075.

$$P=0$$