x uchun yechish
x = \frac{8}{3} = 2\frac{2}{3} \approx 2,666666667
Grafik
Baham ko'rish
Klipbordga nusxa olish
2x-2=5\left(x-2\right)
2 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
2x-2=5x-10
5 ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
2x-2-5x=-10
Ikkala tarafdan 5x ni ayirish.
-3x-2=-10
-3x ni olish uchun 2x va -5x ni birlashtirish.
-3x=-10+2
2 ni ikki tarafga qo’shing.
-3x=-8
-8 olish uchun -10 va 2'ni qo'shing.
x=\frac{-8}{-3}
Ikki tarafini -3 ga bo‘ling.
x=\frac{8}{3}
Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-8}{-3} kasrini \frac{8}{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}