x uchun yechish (complex solution)
x\in \mathrm{C}
x uchun yechish
x\in \mathrm{R}
Grafik
Viktorina
Polynomial
5xshash muammolar:
- 3 ( \frac { 1 } { 9 } - x ) = x - ( 4 x + \frac { 1 } { 3 } ) + 6 x
Baham ko'rish
Klipbordga nusxa olish
-3\times \frac{1}{9}+3x=x-\left(4x+\frac{1}{3}\right)+6x
-3 ga \frac{1}{9}-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{-3}{9}+3x=x-\left(4x+\frac{1}{3}\right)+6x
\frac{-3}{9} hosil qilish uchun -3 va \frac{1}{9} ni ko'paytirish.
-\frac{1}{3}+3x=x-\left(4x+\frac{1}{3}\right)+6x
\frac{-3}{9} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
-\frac{1}{3}+3x=x-4x-\frac{1}{3}+6x
4x+\frac{1}{3} teskarisini topish uchun har birining teskarisini toping.
-\frac{1}{3}+3x=-3x-\frac{1}{3}+6x
-3x ni olish uchun x va -4x ni birlashtirish.
-\frac{1}{3}+3x=3x-\frac{1}{3}
3x ni olish uchun -3x va 6x ni birlashtirish.
-\frac{1}{3}+3x-3x=-\frac{1}{3}
Ikkala tarafdan 3x ni ayirish.
-\frac{1}{3}=-\frac{1}{3}
0 ni olish uchun 3x va -3x ni birlashtirish.
\text{true}
-\frac{1}{3} va -\frac{1}{3} ni taqqoslang.
x\in \mathrm{C}
Bu har qanday x uchun to‘g‘ri.
-3\times \frac{1}{9}+3x=x-\left(4x+\frac{1}{3}\right)+6x
-3 ga \frac{1}{9}-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{-3}{9}+3x=x-\left(4x+\frac{1}{3}\right)+6x
\frac{-3}{9} hosil qilish uchun -3 va \frac{1}{9} ni ko'paytirish.
-\frac{1}{3}+3x=x-\left(4x+\frac{1}{3}\right)+6x
\frac{-3}{9} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
-\frac{1}{3}+3x=x-4x-\frac{1}{3}+6x
4x+\frac{1}{3} teskarisini topish uchun har birining teskarisini toping.
-\frac{1}{3}+3x=-3x-\frac{1}{3}+6x
-3x ni olish uchun x va -4x ni birlashtirish.
-\frac{1}{3}+3x=3x-\frac{1}{3}
3x ni olish uchun -3x va 6x ni birlashtirish.
-\frac{1}{3}+3x-3x=-\frac{1}{3}
Ikkala tarafdan 3x ni ayirish.
-\frac{1}{3}=-\frac{1}{3}
0 ni olish uchun 3x va -3x ni birlashtirish.
\text{true}
-\frac{1}{3} va -\frac{1}{3} ni taqqoslang.
x\in \mathrm{R}
Bu har qanday x uchun to‘g‘ri.
Misollar
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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}