f uchun yechish (complex solution)
\left\{\begin{matrix}f=\frac{x^{2}-3x+6y}{gx}\text{, }&x\neq 0\text{ and }g\neq 0\\f\in \mathrm{C}\text{, }&\left(y=0\text{ and }x=0\right)\text{ or }\left(y=\frac{x\left(3-x\right)}{6}\text{ and }g=0\text{ and }x\neq 0\right)\end{matrix}\right,
g uchun yechish (complex solution)
\left\{\begin{matrix}g=\frac{x^{2}-3x+6y}{fx}\text{, }&x\neq 0\text{ and }f\neq 0\\g\in \mathrm{C}\text{, }&\left(y=0\text{ and }x=0\right)\text{ or }\left(y=\frac{x\left(3-x\right)}{6}\text{ and }f=0\text{ and }x\neq 0\right)\end{matrix}\right,
f uchun yechish
\left\{\begin{matrix}f=\frac{x^{2}-3x+6y}{gx}\text{, }&x\neq 0\text{ and }g\neq 0\\f\in \mathrm{R}\text{, }&\left(y=0\text{ and }x=0\right)\text{ or }\left(y=\frac{x\left(3-x\right)}{6}\text{ and }g=0\text{ and }x\neq 0\right)\end{matrix}\right,
g uchun yechish
\left\{\begin{matrix}g=\frac{x^{2}-3x+6y}{fx}\text{, }&x\neq 0\text{ and }f\neq 0\\g\in \mathrm{R}\text{, }&\left(y=0\text{ and }x=0\right)\text{ or }\left(y=\frac{x\left(3-x\right)}{6}\text{ and }f=0\text{ and }x\neq 0\right)\end{matrix}\right,
Grafik
Baham ko'rish
Klipbordga nusxa olish
gxf=x^{2}-3x+6y
Tenglama standart shaklda.
\frac{gxf}{gx}=\frac{x^{2}-3x+6y}{gx}
Ikki tarafini gx ga bo‘ling.
f=\frac{x^{2}-3x+6y}{gx}
gx ga bo'lish gx ga ko'paytirishni bekor qiladi.
fxg=x^{2}-3x+6y
Tenglama standart shaklda.
\frac{fxg}{fx}=\frac{x^{2}-3x+6y}{fx}
Ikki tarafini fx ga bo‘ling.
g=\frac{x^{2}-3x+6y}{fx}
fx ga bo'lish fx ga ko'paytirishni bekor qiladi.
gxf=x^{2}-3x+6y
Tenglama standart shaklda.
\frac{gxf}{gx}=\frac{x^{2}-3x+6y}{gx}
Ikki tarafini gx ga bo‘ling.
f=\frac{x^{2}-3x+6y}{gx}
gx ga bo'lish gx ga ko'paytirishni bekor qiladi.
fxg=x^{2}-3x+6y
Tenglama standart shaklda.
\frac{fxg}{fx}=\frac{x^{2}-3x+6y}{fx}
Ikki tarafini fx ga bo‘ling.
g=\frac{x^{2}-3x+6y}{fx}
fx ga bo'lish fx ga ko'paytirishni bekor qiladi.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\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]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}