a uchun yechish (complex solution)
\left\{\begin{matrix}a=-\frac{v-ux-x^{2}}{t}\text{, }&t\neq 0\text{ and }x\neq -u\\a\in \mathrm{C}\text{, }&v=x\left(x+u\right)\text{ and }t=0\text{ and }x\neq -u\end{matrix}\right,
t uchun yechish (complex solution)
\left\{\begin{matrix}t=-\frac{v-ux-x^{2}}{a}\text{, }&a\neq 0\text{ and }x\neq -u\\t\in \mathrm{C}\text{, }&v=x\left(x+u\right)\text{ and }a=0\text{ and }x\neq -u\end{matrix}\right,
a uchun yechish
\left\{\begin{matrix}a=-\frac{v-ux-x^{2}}{t}\text{, }&t\neq 0\text{ and }x\neq -u\\a\in \mathrm{R}\text{, }&v=x\left(x+u\right)\text{ and }t=0\text{ and }x\neq -u\end{matrix}\right,
t uchun yechish
\left\{\begin{matrix}t=-\frac{v-ux-x^{2}}{a}\text{, }&a\neq 0\text{ and }x\neq -u\\t\in \mathrm{R}\text{, }&v=x\left(x+u\right)\text{ and }a=0\text{ and }x\neq -u\end{matrix}\right,
Grafik
Baham ko'rish
Klipbordga nusxa olish
v+at=x\left(x+u\right)
Tenglamaning ikkala tarafini x+u ga ko'paytirish.
v+at=x^{2}+xu
x ga x+u ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
at=x^{2}+xu-v
Ikkala tarafdan v ni ayirish.
ta=x^{2}+ux-v
Tenglama standart shaklda.
\frac{ta}{t}=\frac{x^{2}+ux-v}{t}
Ikki tarafini t ga bo‘ling.
a=\frac{x^{2}+ux-v}{t}
t ga bo'lish t ga ko'paytirishni bekor qiladi.
v+at=x\left(x+u\right)
Tenglamaning ikkala tarafini x+u ga ko'paytirish.
v+at=x^{2}+xu
x ga x+u ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
at=x^{2}+xu-v
Ikkala tarafdan v ni ayirish.
at=x^{2}+ux-v
Tenglama standart shaklda.
\frac{at}{a}=\frac{x^{2}+ux-v}{a}
Ikki tarafini a ga bo‘ling.
t=\frac{x^{2}+ux-v}{a}
a ga bo'lish a ga ko'paytirishni bekor qiladi.
v+at=x\left(x+u\right)
Tenglamaning ikkala tarafini x+u ga ko'paytirish.
v+at=x^{2}+xu
x ga x+u ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
at=x^{2}+xu-v
Ikkala tarafdan v ni ayirish.
ta=x^{2}+ux-v
Tenglama standart shaklda.
\frac{ta}{t}=\frac{x^{2}+ux-v}{t}
Ikki tarafini t ga bo‘ling.
a=\frac{x^{2}+ux-v}{t}
t ga bo'lish t ga ko'paytirishni bekor qiladi.
v+at=x\left(x+u\right)
Tenglamaning ikkala tarafini x+u ga ko'paytirish.
v+at=x^{2}+xu
x ga x+u ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
at=x^{2}+xu-v
Ikkala tarafdan v ni ayirish.
at=x^{2}+ux-v
Tenglama standart shaklda.
\frac{at}{a}=\frac{x^{2}+ux-v}{a}
Ikki tarafini a ga bo‘ling.
t=\frac{x^{2}+ux-v}{a}
a ga bo'lish a ga ko'paytirishni bekor qiladi.
Misollar
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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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Chegaralar
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