x uchun yechish (complex solution)
\left\{\begin{matrix}x=0\text{, }&y\neq 0\\x\in \mathrm{C}\text{, }&y=1\text{ or }y=-1\end{matrix}\right,
x uchun yechish
\left\{\begin{matrix}x=0\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&|y|=1\end{matrix}\right,
y uchun yechish
\left\{\begin{matrix}\\y=1\text{; }y=-1\text{, }&\text{unconditionally}\\y\neq 0\text{, }&x=0\end{matrix}\right,
Grafik
Baham ko'rish
Klipbordga nusxa olish
xyy=x
Tenglamaning ikkala tarafini y ga ko'paytirish.
xy^{2}=x
y^{2} hosil qilish uchun y va y ni ko'paytirish.
xy^{2}-x=0
Ikkala tarafdan x ni ayirish.
\left(y^{2}-1\right)x=0
x'ga ega bo'lgan barcha shartlarni birlashtirish.
x=0
0 ni y^{2}-1 ga bo'lish.
xyy=x
Tenglamaning ikkala tarafini y ga ko'paytirish.
xy^{2}=x
y^{2} hosil qilish uchun y va y ni ko'paytirish.
xy^{2}-x=0
Ikkala tarafdan x ni ayirish.
\left(y^{2}-1\right)x=0
x'ga ega bo'lgan barcha shartlarni birlashtirish.
x=0
0 ni y^{2}-1 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}