x uchun yechish (complex solution)
\left\{\begin{matrix}\\x=-1\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=2\end{matrix}\right,
y uchun yechish (complex solution)
\left\{\begin{matrix}\\y=2\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=-1\end{matrix}\right,
x uchun yechish
\left\{\begin{matrix}\\x=-1\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=2\end{matrix}\right,
y uchun yechish
\left\{\begin{matrix}\\y=2\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=-1\end{matrix}\right,
Grafik
Baham ko'rish
Klipbordga nusxa olish
xy-2-2x=-y
Ikkala tarafdan 2x ni ayirish.
xy-2x=-y+2
2 ni ikki tarafga qo’shing.
\left(y-2\right)x=-y+2
x'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(y-2\right)x=2-y
Tenglama standart shaklda.
\frac{\left(y-2\right)x}{y-2}=\frac{2-y}{y-2}
Ikki tarafini -2+y ga bo‘ling.
x=\frac{2-y}{y-2}
-2+y ga bo'lish -2+y ga ko'paytirishni bekor qiladi.
x=-1
-y+2 ni -2+y ga bo'lish.
xy-2+y=2x
y ni ikki tarafga qo’shing.
xy+y=2x+2
2 ni ikki tarafga qo’shing.
\left(x+1\right)y=2x+2
y'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(x+1\right)y}{x+1}=\frac{2x+2}{x+1}
Ikki tarafini 1+x ga bo‘ling.
y=\frac{2x+2}{x+1}
1+x ga bo'lish 1+x ga ko'paytirishni bekor qiladi.
y=2
2+2x ni 1+x ga bo'lish.
xy-2-2x=-y
Ikkala tarafdan 2x ni ayirish.
xy-2x=-y+2
2 ni ikki tarafga qo’shing.
\left(y-2\right)x=-y+2
x'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(y-2\right)x=2-y
Tenglama standart shaklda.
\frac{\left(y-2\right)x}{y-2}=\frac{2-y}{y-2}
Ikki tarafini -2+y ga bo‘ling.
x=\frac{2-y}{y-2}
-2+y ga bo'lish -2+y ga ko'paytirishni bekor qiladi.
x=-1
-y+2 ni -2+y ga bo'lish.
xy-2+y=2x
y ni ikki tarafga qo’shing.
xy+y=2x+2
2 ni ikki tarafga qo’shing.
\left(x+1\right)y=2x+2
y'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(x+1\right)y}{x+1}=\frac{2x+2}{x+1}
Ikki tarafini 1+x ga bo‘ling.
y=\frac{2x+2}{x+1}
1+x ga bo'lish 1+x ga ko'paytirishni bekor qiladi.
y=2
2+2x ni 1+x ga bo'lish.
Misollar
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}