x uchun yechish
x=\frac{1}{3}\approx 0,333333333
Grafik
Baham ko'rish
Klipbordga nusxa olish
6-2x-\left(3x+1\right)=8-2\left(x+2\right)
2 ga 3-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
6-2x-3x-1=8-2\left(x+2\right)
3x+1 teskarisini topish uchun har birining teskarisini toping.
6-5x-1=8-2\left(x+2\right)
-5x ni olish uchun -2x va -3x ni birlashtirish.
5-5x=8-2\left(x+2\right)
5 olish uchun 6 dan 1 ni ayirish.
5-5x=8-2x-4
-2 ga x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
5-5x=4-2x
4 olish uchun 8 dan 4 ni ayirish.
5-5x+2x=4
2x ni ikki tarafga qo’shing.
5-3x=4
-3x ni olish uchun -5x va 2x ni birlashtirish.
-3x=4-5
Ikkala tarafdan 5 ni ayirish.
-3x=-1
-1 olish uchun 4 dan 5 ni ayirish.
x=\frac{-1}{-3}
Ikki tarafini -3 ga bo‘ling.
x=\frac{1}{3}
Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-1}{-3} kasrini \frac{1}{3} ga soddalashtirish mumkin.
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}