x uchun yechish (complex solution)
x\in \mathrm{C}
x uchun yechish
x\in \mathrm{R}
Grafik
Baham ko'rish
Klipbordga nusxa olish
5x-5-\left(1-x\right)=2\left(x-1\right)-4\left(1-x\right)
5 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
5x-5-1-\left(-x\right)=2\left(x-1\right)-4\left(1-x\right)
1-x teskarisini topish uchun har birining teskarisini toping.
5x-5-1+x=2\left(x-1\right)-4\left(1-x\right)
-x ning teskarisi x ga teng.
5x-6+x=2\left(x-1\right)-4\left(1-x\right)
-6 olish uchun -5 dan 1 ni ayirish.
6x-6=2\left(x-1\right)-4\left(1-x\right)
6x ni olish uchun 5x va x ni birlashtirish.
6x-6=2x-2-4\left(1-x\right)
2 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
6x-6=2x-2-4+4x
-4 ga 1-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
6x-6=2x-6+4x
-6 olish uchun -2 dan 4 ni ayirish.
6x-6=6x-6
6x ni olish uchun 2x va 4x ni birlashtirish.
6x-6-6x=-6
Ikkala tarafdan 6x ni ayirish.
-6=-6
0 ni olish uchun 6x va -6x ni birlashtirish.
\text{true}
-6 va -6 ni taqqoslang.
x\in \mathrm{C}
Bu har qanday x uchun to‘g‘ri.
5x-5-\left(1-x\right)=2\left(x-1\right)-4\left(1-x\right)
5 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
5x-5-1-\left(-x\right)=2\left(x-1\right)-4\left(1-x\right)
1-x teskarisini topish uchun har birining teskarisini toping.
5x-5-1+x=2\left(x-1\right)-4\left(1-x\right)
-x ning teskarisi x ga teng.
5x-6+x=2\left(x-1\right)-4\left(1-x\right)
-6 olish uchun -5 dan 1 ni ayirish.
6x-6=2\left(x-1\right)-4\left(1-x\right)
6x ni olish uchun 5x va x ni birlashtirish.
6x-6=2x-2-4\left(1-x\right)
2 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
6x-6=2x-2-4+4x
-4 ga 1-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
6x-6=2x-6+4x
-6 olish uchun -2 dan 4 ni ayirish.
6x-6=6x-6
6x ni olish uchun 2x va 4x ni birlashtirish.
6x-6-6x=-6
Ikkala tarafdan 6x ni ayirish.
-6=-6
0 ni olish uchun 6x va -6x ni birlashtirish.
\text{true}
-6 va -6 ni taqqoslang.
x\in \mathrm{R}
Bu har qanday x uchun to‘g‘ri.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
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}