Réitigh do 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.
Réitigh do 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.
Tráth na gCeist
Linear Equation
5 fadhbanna cosúil le:
\{ 173 - [ 147.73 + 0.1 p ^ { 1.2 } + \frac { ( 1750 + 7325 ) } { p } ] \} P = 0
Roinn
Cóipeáladh go dtí an ghearrthaisce
\left(173-\left(147.73+0.1p^{1.2}+\frac{1750+7325}{p}\right)\right)Pp=0
Méadaigh an dá thaobh den chothromóid faoi p.
\left(173-\left(147.73+0.1p^{1.2}+\frac{9075}{p}\right)\right)Pp=0
Suimigh 1750 agus 7325 chun 9075 a fháil.
\left(173-147.73-0.1p^{1.2}-\frac{9075}{p}\right)Pp=0
Chun an mhalairt ar 147.73+0.1p^{1.2}+\frac{9075}{p} a aimsiú, aimsigh an mhalairt ar gach téarma.
\left(25.27-0.1p^{1.2}-\frac{9075}{p}\right)Pp=0
Dealaigh 147.73 ó 173 chun 25.27 a fháil.
\left(25.27P-0.1p^{1.2}P-\frac{9075}{p}P\right)p=0
Úsáid an t-airí dáileach chun 25.27-0.1p^{1.2}-\frac{9075}{p} a mhéadú faoi P.
\left(25.27P-0.1p^{1.2}P-\frac{9075P}{p}\right)p=0
Scríobh \frac{9075}{p}P mar chodán aonair.
25.27Pp-0.1p^{1.2}Pp-\frac{9075P}{p}p=0
Úsáid an t-airí dáileach chun 25.27P-0.1p^{1.2}P-\frac{9075P}{p} a mhéadú faoi p.
25.27Pp-0.1p^{2.2}P-\frac{9075P}{p}p=0
Chun cumhachtaí den bhonn céanna a iolrú, suimigh a n-easpónaint. Suimigh 1.2 agus 1 chun 2.2 a bhaint amach.
25.27Pp-0.1p^{2.2}P-\frac{9075Pp}{p}=0
Scríobh \frac{9075P}{p}p mar chodán aonair.
25.27Pp-0.1p^{2.2}P-9075P=0
Cealaigh p mar uimhreoir agus ainmneoir.
\left(25.27p-0.1p^{2.2}-9075\right)P=0
Comhcheangail na téarmaí ar fad ina bhfuil P.
\left(-\frac{p^{2.2}}{10}+\frac{2527p}{100}-9075\right)P=0
Tá an chothromóid i bhfoirm chaighdeánach.
P=0
Roinn 0 faoi 25.27p-0.1p^{2.2}-9075.
\left(173-\left(147.73+0.1p^{1.2}+\frac{1750+7325}{p}\right)\right)Pp=0
Méadaigh an dá thaobh den chothromóid faoi p.
\left(173-\left(147.73+0.1p^{1.2}+\frac{9075}{p}\right)\right)Pp=0
Suimigh 1750 agus 7325 chun 9075 a fháil.
\left(173-147.73-0.1p^{1.2}-\frac{9075}{p}\right)Pp=0
Chun an mhalairt ar 147.73+0.1p^{1.2}+\frac{9075}{p} a aimsiú, aimsigh an mhalairt ar gach téarma.
\left(25.27-0.1p^{1.2}-\frac{9075}{p}\right)Pp=0
Dealaigh 147.73 ó 173 chun 25.27 a fháil.
\left(25.27P-0.1p^{1.2}P-\frac{9075}{p}P\right)p=0
Úsáid an t-airí dáileach chun 25.27-0.1p^{1.2}-\frac{9075}{p} a mhéadú faoi P.
\left(25.27P-0.1p^{1.2}P-\frac{9075P}{p}\right)p=0
Scríobh \frac{9075}{p}P mar chodán aonair.
25.27Pp-0.1p^{1.2}Pp-\frac{9075P}{p}p=0
Úsáid an t-airí dáileach chun 25.27P-0.1p^{1.2}P-\frac{9075P}{p} a mhéadú faoi p.
25.27Pp-0.1p^{2.2}P-\frac{9075P}{p}p=0
Chun cumhachtaí den bhonn céanna a iolrú, suimigh a n-easpónaint. Suimigh 1.2 agus 1 chun 2.2 a bhaint amach.
25.27Pp-0.1p^{2.2}P-\frac{9075Pp}{p}=0
Scríobh \frac{9075P}{p}p mar chodán aonair.
25.27Pp-0.1p^{2.2}P-9075P=0
Cealaigh p mar uimhreoir agus ainmneoir.
\left(25.27p-0.1p^{2.2}-9075\right)P=0
Comhcheangail na téarmaí ar fad ina bhfuil P.
\left(-\frac{p^{2.2}}{10}+\frac{2527p}{100}-9075\right)P=0
Tá an chothromóid i bhfoirm chaighdeánach.
P=0
Roinn 0 faoi 25.27p-0.1p^{2.2}-9075.
Samplaí
Cothromóid chearnach
{ x } ^ { 2 } - 4 x - 5 = 0
Triantánacht
4 \sin \theta \cos \theta = 2 \sin \theta
Cothromóid líneach
y = 3x + 4
Uimhríocht
699 * 533
Maitrís
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Cothromóid chomhuaineach
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Difreáil
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Comhtháthú
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Teorainneacha
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}