x uchun yechish
x = \frac{25}{11} = 2\frac{3}{11} \approx 2,272727273
Grafik
Baham ko'rish
Klipbordga nusxa olish
-8\left(x-2\right)=3\left(x-3\right)
x qiymati 3 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 8\left(x-3\right) ga, 3-x,8 ning eng kichik karralisiga ko‘paytiring.
-8x+16=3\left(x-3\right)
-8 ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-8x+16=3x-9
3 ga x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-8x+16-3x=-9
Ikkala tarafdan 3x ni ayirish.
-11x+16=-9
-11x ni olish uchun -8x va -3x ni birlashtirish.
-11x=-9-16
Ikkala tarafdan 16 ni ayirish.
-11x=-25
-25 olish uchun -9 dan 16 ni ayirish.
x=\frac{-25}{-11}
Ikki tarafini -11 ga bo‘ling.
x=\frac{25}{11}
Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-25}{-11} kasrini \frac{25}{11} 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}