x uchun yechish (complex solution)
x\in \mathrm{C}
x uchun yechish
x\in \mathrm{R}
Grafik
Viktorina
Polynomial
4x-11-(x-6)=3(x-1)-2
Baham ko'rish
Klipbordga nusxa olish
4x-11-x-\left(-6\right)=3\left(x-1\right)-2
x-6 teskarisini topish uchun har birining teskarisini toping.
4x-11-x+6=3\left(x-1\right)-2
-6 ning teskarisi 6 ga teng.
3x-11+6=3\left(x-1\right)-2
3x ni olish uchun 4x va -x ni birlashtirish.
3x-5=3\left(x-1\right)-2
-5 olish uchun -11 va 6'ni qo'shing.
3x-5=3x-3-2
3 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
3x-5=3x-5
-5 olish uchun -3 dan 2 ni ayirish.
3x-5-3x=-5
Ikkala tarafdan 3x ni ayirish.
-5=-5
0 ni olish uchun 3x va -3x ni birlashtirish.
\text{true}
-5 va -5 ni taqqoslang.
x\in \mathrm{C}
Bu har qanday x uchun to‘g‘ri.
4x-11-x-\left(-6\right)=3\left(x-1\right)-2
x-6 teskarisini topish uchun har birining teskarisini toping.
4x-11-x+6=3\left(x-1\right)-2
-6 ning teskarisi 6 ga teng.
3x-11+6=3\left(x-1\right)-2
3x ni olish uchun 4x va -x ni birlashtirish.
3x-5=3\left(x-1\right)-2
-5 olish uchun -11 va 6'ni qo'shing.
3x-5=3x-3-2
3 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
3x-5=3x-5
-5 olish uchun -3 dan 2 ni ayirish.
3x-5-3x=-5
Ikkala tarafdan 3x ni ayirish.
-5=-5
0 ni olish uchun 3x va -3x ni birlashtirish.
\text{true}
-5 va -5 ni taqqoslang.
x\in \mathrm{R}
Bu har qanday x uchun to‘g‘ri.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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Chiziqli tenglama
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}