y uchun yechish (complex solution)
\left\{\begin{matrix}\\y=-\frac{x}{2}\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right,
y uchun yechish
\left\{\begin{matrix}\\y=-\frac{x}{2}\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right,
x uchun yechish
x=-2y
x=0
Grafik
Baham ko'rish
Klipbordga nusxa olish
2xy=-x^{2}
Ikkala tarafdan x^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.
\frac{2xy}{2x}=-\frac{x^{2}}{2x}
Ikki tarafini 2x ga bo‘ling.
y=-\frac{x^{2}}{2x}
2x ga bo'lish 2x ga ko'paytirishni bekor qiladi.
y=-\frac{x}{2}
-x^{2} ni 2x ga bo'lish.
2xy=-x^{2}
Ikkala tarafdan x^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.
\frac{2xy}{2x}=-\frac{x^{2}}{2x}
Ikki tarafini 2x ga bo‘ling.
y=-\frac{x^{2}}{2x}
2x ga bo'lish 2x ga ko'paytirishni bekor qiladi.
y=-\frac{x}{2}
-x^{2} ni 2x ga bo'lish.
Misollar
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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}