y uchun yechish (complex solution)
\left\{\begin{matrix}y=\frac{5x}{\Delta }\text{, }&\Delta \neq 0\\y\in \mathrm{C}\text{, }&x=0\text{ and }\Delta =0\end{matrix}\right,
x uchun yechish
x=\frac{y\Delta }{5}
y uchun yechish
\left\{\begin{matrix}y=\frac{5x}{\Delta }\text{, }&\Delta \neq 0\\y\in \mathrm{R}\text{, }&x=0\text{ and }\Delta =0\end{matrix}\right,
Grafik
Viktorina
Linear Equation
\Delta y = 5 x
Baham ko'rish
Klipbordga nusxa olish
\Delta y=5x
Tenglama standart shaklda.
\frac{\Delta y}{\Delta }=\frac{5x}{\Delta }
Ikki tarafini \Delta ga bo‘ling.
y=\frac{5x}{\Delta }
\Delta ga bo'lish \Delta ga ko'paytirishni bekor qiladi.
5x=\Delta y
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
5x=y\Delta
Tenglama standart shaklda.
\frac{5x}{5}=\frac{y\Delta }{5}
Ikki tarafini 5 ga bo‘ling.
x=\frac{y\Delta }{5}
5 ga bo'lish 5 ga ko'paytirishni bekor qiladi.
\Delta y=5x
Tenglama standart shaklda.
\frac{\Delta y}{\Delta }=\frac{5x}{\Delta }
Ikki tarafini \Delta ga bo‘ling.
y=\frac{5x}{\Delta }
\Delta ga bo'lish \Delta ga ko'paytirishni bekor qiladi.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}