O uchun yechish (complex solution)
\left\{\begin{matrix}O=-\frac{4-x}{2y}\text{, }&y\neq 0\\O\in \mathrm{C}\text{, }&x=4\text{ and }y=0\end{matrix}\right,
O uchun yechish
\left\{\begin{matrix}O=-\frac{4-x}{2y}\text{, }&y\neq 0\\O\in \mathrm{R}\text{, }&x=4\text{ and }y=0\end{matrix}\right,
x uchun yechish
x=2\left(Oy+2\right)
Grafik
Baham ko'rish
Klipbordga nusxa olish
yO=\frac{x}{2}-2
Tenglama standart shaklda.
\frac{yO}{y}=\frac{\frac{x}{2}-2}{y}
Ikki tarafini y ga bo‘ling.
O=\frac{\frac{x}{2}-2}{y}
y ga bo'lish y ga ko'paytirishni bekor qiladi.
O=\frac{x-4}{2y}
\frac{x}{2}-2 ni y ga bo'lish.
yO=\frac{x}{2}-2
Tenglama standart shaklda.
\frac{yO}{y}=\frac{\frac{x}{2}-2}{y}
Ikki tarafini y ga bo‘ling.
O=\frac{\frac{x}{2}-2}{y}
y ga bo'lish y ga ko'paytirishni bekor qiladi.
O=\frac{x-4}{2y}
\frac{x}{2}-2 ni y ga bo'lish.
\frac{1}{2}x-2=Oy
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
\frac{1}{2}x=Oy+2
2 ni ikki tarafga qo’shing.
\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{Oy+2}{\frac{1}{2}}
Ikkala tarafini 2 ga ko‘paytiring.
x=\frac{Oy+2}{\frac{1}{2}}
\frac{1}{2} ga bo'lish \frac{1}{2} ga ko'paytirishni bekor qiladi.
x=2Oy+4
Oy+2 ni \frac{1}{2} ga bo'lish Oy+2 ga k'paytirish \frac{1}{2} ga qaytarish.
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}