B uchun yechish
\left\{\begin{matrix}\\B=0\text{, }&\text{unconditionally}\\B\in \mathrm{R}\text{, }&G=DK\end{matrix}\right,
D uchun yechish
\left\{\begin{matrix}D=\frac{G}{K}\text{, }&K\neq 0\\D\in \mathrm{R}\text{, }&B=0\text{ or }\left(G=0\text{ and }K=0\right)\end{matrix}\right,
Baham ko'rish
Klipbordga nusxa olish
GB-DKB=0
Ikkala tarafdan DKB ni ayirish.
-BDK+BG=0
Shartlarni qayta saralash.
\left(-DK+G\right)B=0
B'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(G-DK\right)B=0
Tenglama standart shaklda.
B=0
0 ni G-DK ga bo'lish.
DKB=GB
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
BKD=BG
Tenglama standart shaklda.
\frac{BKD}{BK}=\frac{BG}{BK}
Ikki tarafini KB ga bo‘ling.
D=\frac{BG}{BK}
KB ga bo'lish KB ga ko'paytirishni bekor qiladi.
D=\frac{G}{K}
GB ni KB 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}