x uchun yechish
x=-\frac{2\left(y+1\right)}{4y+1}
y\neq -\frac{1}{4}
y uchun yechish
y=-\frac{x+2}{2\left(2x+1\right)}
x\neq -\frac{1}{2}
Grafik
Baham ko'rish
Klipbordga nusxa olish
4xy+2x+2y+2-x=0
Ikkala tarafdan x ni ayirish.
4xy+x+2y+2=0
x ni olish uchun 2x va -x ni birlashtirish.
4xy+x+2=-2y
Ikkala tarafdan 2y ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.
4xy+x=-2y-2
Ikkala tarafdan 2 ni ayirish.
\left(4y+1\right)x=-2y-2
x'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(4y+1\right)x}{4y+1}=\frac{-2y-2}{4y+1}
Ikki tarafini 4y+1 ga bo‘ling.
x=\frac{-2y-2}{4y+1}
4y+1 ga bo'lish 4y+1 ga ko'paytirishni bekor qiladi.
x=-\frac{2\left(y+1\right)}{4y+1}
-2y-2 ni 4y+1 ga bo'lish.
4xy+2y+2=x-2x
Ikkala tarafdan 2x ni ayirish.
4xy+2y+2=-x
-x ni olish uchun x va -2x ni birlashtirish.
4xy+2y=-x-2
Ikkala tarafdan 2 ni ayirish.
\left(4x+2\right)y=-x-2
y'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(4x+2\right)y}{4x+2}=\frac{-x-2}{4x+2}
Ikki tarafini 4x+2 ga bo‘ling.
y=\frac{-x-2}{4x+2}
4x+2 ga bo'lish 4x+2 ga ko'paytirishni bekor qiladi.
y=-\frac{x+2}{2\left(2x+1\right)}
-x-2 ni 4x+2 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}