x uchun yechish (complex solution)
\left\{\begin{matrix}\\x=0\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=0\end{matrix}\right,
x uchun yechish
\left\{\begin{matrix}\\x=0\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=0\end{matrix}\right,
Grafik
Baham ko'rish
Klipbordga nusxa olish
3x-5+x+2xy=-5
5-x teskarisini topish uchun har birining teskarisini toping.
4x-5+2xy=-5
4x ni olish uchun 3x va x ni birlashtirish.
4x+2xy=-5+5
5 ni ikki tarafga qo’shing.
4x+2xy=0
0 olish uchun -5 va 5'ni qo'shing.
\left(4+2y\right)x=0
x'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(2y+4\right)x=0
Tenglama standart shaklda.
x=0
0 ni 4+2y ga bo'lish.
3x-5+x+2xy=-5
5-x teskarisini topish uchun har birining teskarisini toping.
4x-5+2xy=-5
4x ni olish uchun 3x va x ni birlashtirish.
-5+2xy=-5-4x
Ikkala tarafdan 4x ni ayirish.
2xy=-5-4x+5
5 ni ikki tarafga qo’shing.
2xy=-4x
0 olish uchun -5 va 5'ni qo'shing.
\frac{2xy}{2x}=-\frac{4x}{2x}
Ikki tarafini 2x ga bo‘ling.
y=-\frac{4x}{2x}
2x ga bo'lish 2x ga ko'paytirishni bekor qiladi.
y=-2
-4x ni 2x ga bo'lish.
3x-5+x+2xy=-5
5-x teskarisini topish uchun har birining teskarisini toping.
4x-5+2xy=-5
4x ni olish uchun 3x va x ni birlashtirish.
4x+2xy=-5+5
5 ni ikki tarafga qo’shing.
4x+2xy=0
0 olish uchun -5 va 5'ni qo'shing.
\left(4+2y\right)x=0
x'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(2y+4\right)x=0
Tenglama standart shaklda.
x=0
0 ni 4+2y ga bo'lish.
3x-5+x+2xy=-5
5-x teskarisini topish uchun har birining teskarisini toping.
4x-5+2xy=-5
4x ni olish uchun 3x va x ni birlashtirish.
-5+2xy=-5-4x
Ikkala tarafdan 4x ni ayirish.
2xy=-5-4x+5
5 ni ikki tarafga qo’shing.
2xy=-4x
0 olish uchun -5 va 5'ni qo'shing.
\frac{2xy}{2x}=-\frac{4x}{2x}
Ikki tarafini 2x ga bo‘ling.
y=-\frac{4x}{2x}
2x ga bo'lish 2x ga ko'paytirishni bekor qiladi.
y=-2
-4x ni 2x ga bo'lish.
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}