A uchun yechish (complex solution)
\left\{\begin{matrix}A=-\frac{Bx+C}{x^{2}}\text{, }&x\neq 0\\A\in \mathrm{C}\text{, }&C=0\text{ and }x=0\end{matrix}\right,
B uchun yechish (complex solution)
\left\{\begin{matrix}B=-Ax-\frac{C}{x}\text{, }&x\neq 0\\B\in \mathrm{C}\text{, }&C=0\text{ and }x=0\end{matrix}\right,
A uchun yechish
\left\{\begin{matrix}A=-\frac{Bx+C}{x^{2}}\text{, }&x\neq 0\\A\in \mathrm{R}\text{, }&C=0\text{ and }x=0\end{matrix}\right,
B uchun yechish
\left\{\begin{matrix}B=-Ax-\frac{C}{x}\text{, }&x\neq 0\\B\in \mathrm{R}\text{, }&C=0\text{ and }x=0\end{matrix}\right,
Grafik
Baham ko'rish
Klipbordga nusxa olish
Ax^{2}+C=-Bx
Ikkala tarafdan Bx ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.
Ax^{2}=-Bx-C
Ikkala tarafdan C ni ayirish.
x^{2}A=-Bx-C
Tenglama standart shaklda.
\frac{x^{2}A}{x^{2}}=\frac{-Bx-C}{x^{2}}
Ikki tarafini x^{2} ga bo‘ling.
A=\frac{-Bx-C}{x^{2}}
x^{2} ga bo'lish x^{2} ga ko'paytirishni bekor qiladi.
A=-\frac{Bx+C}{x^{2}}
-Bx-C ni x^{2} ga bo'lish.
Bx+C=-Ax^{2}
Ikkala tarafdan Ax^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.
Bx=-Ax^{2}-C
Ikkala tarafdan C ni ayirish.
xB=-Ax^{2}-C
Tenglama standart shaklda.
\frac{xB}{x}=\frac{-Ax^{2}-C}{x}
Ikki tarafini x ga bo‘ling.
B=\frac{-Ax^{2}-C}{x}
x ga bo'lish x ga ko'paytirishni bekor qiladi.
B=-Ax-\frac{C}{x}
-Ax^{2}-C ni x ga bo'lish.
Ax^{2}+C=-Bx
Ikkala tarafdan Bx ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.
Ax^{2}=-Bx-C
Ikkala tarafdan C ni ayirish.
x^{2}A=-Bx-C
Tenglama standart shaklda.
\frac{x^{2}A}{x^{2}}=\frac{-Bx-C}{x^{2}}
Ikki tarafini x^{2} ga bo‘ling.
A=\frac{-Bx-C}{x^{2}}
x^{2} ga bo'lish x^{2} ga ko'paytirishni bekor qiladi.
A=-\frac{Bx+C}{x^{2}}
-Bx-C ni x^{2} ga bo'lish.
Bx+C=-Ax^{2}
Ikkala tarafdan Ax^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.
Bx=-Ax^{2}-C
Ikkala tarafdan C ni ayirish.
xB=-Ax^{2}-C
Tenglama standart shaklda.
\frac{xB}{x}=\frac{-Ax^{2}-C}{x}
Ikki tarafini x ga bo‘ling.
B=\frac{-Ax^{2}-C}{x}
x ga bo'lish x ga ko'paytirishni bekor qiladi.
B=-Ax-\frac{C}{x}
-Ax^{2}-C ni x ga bo'lish.
Misollar
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y = 3x + 4
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699 * 533
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\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]
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\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}