P uchun yechish (complex solution)
\left\{\begin{matrix}P=-\frac{2\left(2x-1\right)}{y}\text{, }&y\neq 0\\P\in \mathrm{C}\text{, }&x=\frac{1}{2}\text{ and }y=0\end{matrix}\right,
P uchun yechish
\left\{\begin{matrix}P=-\frac{2\left(2x-1\right)}{y}\text{, }&y\neq 0\\P\in \mathrm{R}\text{, }&x=\frac{1}{2}\text{ and }y=0\end{matrix}\right,
x uchun yechish
x=-\frac{Py}{4}+\frac{1}{2}
Grafik
Baham ko'rish
Klipbordga nusxa olish
Py=2-4x
Ikkala tarafdan 4x ni ayirish.
yP=2-4x
Tenglama standart shaklda.
\frac{yP}{y}=\frac{2-4x}{y}
Ikki tarafini y ga bo‘ling.
P=\frac{2-4x}{y}
y ga bo'lish y ga ko'paytirishni bekor qiladi.
P=\frac{2\left(1-2x\right)}{y}
2-4x ni y ga bo'lish.
Py=2-4x
Ikkala tarafdan 4x ni ayirish.
yP=2-4x
Tenglama standart shaklda.
\frac{yP}{y}=\frac{2-4x}{y}
Ikki tarafini y ga bo‘ling.
P=\frac{2-4x}{y}
y ga bo'lish y ga ko'paytirishni bekor qiladi.
P=\frac{2\left(1-2x\right)}{y}
2-4x ni y ga bo'lish.
4x=2-Py
Ikkala tarafdan Py ni ayirish.
\frac{4x}{4}=\frac{2-Py}{4}
Ikki tarafini 4 ga bo‘ling.
x=\frac{2-Py}{4}
4 ga bo'lish 4 ga ko'paytirishni bekor qiladi.
x=-\frac{Py}{4}+\frac{1}{2}
2-Py ni 4 ga bo'lish.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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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}