x uchun yechish
x = \frac{17}{4} = 4\frac{1}{4} = 4,25
Grafik
Baham ko'rish
Klipbordga nusxa olish
2x+5=6\left(x-2\right)
x qiymati 2 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 3\left(x-2\right) ga ko'paytirish.
2x+5=6x-12
6 ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
2x+5-6x=-12
Ikkala tarafdan 6x ni ayirish.
-4x+5=-12
-4x ni olish uchun 2x va -6x ni birlashtirish.
-4x=-12-5
Ikkala tarafdan 5 ni ayirish.
-4x=-17
-17 olish uchun -12 dan 5 ni ayirish.
x=\frac{-17}{-4}
Ikki tarafini -4 ga bo‘ling.
x=\frac{17}{4}
Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-17}{-4} kasrini \frac{17}{4} 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}