x uchun yechish
x = \frac{13}{5} = 2\frac{3}{5} = 2,6
Grafik
Baham ko'rish
Klipbordga nusxa olish
-2\left(x-2\right)=3\left(x-3\right)
x qiymati 3 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 2\left(x-3\right) ga, 3-x,2 ning eng kichik karralisiga ko‘paytiring.
-2x+4=3\left(x-3\right)
-2 ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-2x+4=3x-9
3 ga x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-2x+4-3x=-9
Ikkala tarafdan 3x ni ayirish.
-5x+4=-9
-5x ni olish uchun -2x va -3x ni birlashtirish.
-5x=-9-4
Ikkala tarafdan 4 ni ayirish.
-5x=-13
-13 olish uchun -9 dan 4 ni ayirish.
x=\frac{-13}{-5}
Ikki tarafini -5 ga bo‘ling.
x=\frac{13}{5}
Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-13}{-5} kasrini \frac{13}{5} 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}