x uchun yechish
x = \frac{13}{6} = 2\frac{1}{6} \approx 2,166666667
Grafik
Baham ko'rish
Klipbordga nusxa olish
5\left(2x-1\right)=4\left(x+2\right)
x qiymati -2 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 5\left(x+2\right) ga, x+2,5 ning eng kichik karralisiga ko‘paytiring.
10x-5=4\left(x+2\right)
5 ga 2x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
10x-5=4x+8
4 ga x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
10x-5-4x=8
Ikkala tarafdan 4x ni ayirish.
6x-5=8
6x ni olish uchun 10x va -4x ni birlashtirish.
6x=8+5
5 ni ikki tarafga qo’shing.
6x=13
13 olish uchun 8 va 5'ni qo'shing.
x=\frac{13}{6}
Ikki tarafini 6 ga bo‘ling.
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}