x uchun yechish
x = \frac{10}{3} = 3\frac{1}{3} \approx 3,333333333
Grafik
Viktorina
Linear Equation
5xshash muammolar:
\frac{ 5x }{ 3 } -2 = - \frac{ 5x-2 }{ 6 } + \frac{ 3x+2 }{ 2 }
Baham ko'rish
Klipbordga nusxa olish
2\times 5x-12=-\left(5x-2\right)+3\left(3x+2\right)
Tenglamaning ikkala tarafini 6 ga, 3,6,2 ning eng kichik karralisiga ko‘paytiring.
10x-12=-\left(5x-2\right)+3\left(3x+2\right)
10 hosil qilish uchun 2 va 5 ni ko'paytirish.
10x-12=-5x-\left(-2\right)+3\left(3x+2\right)
5x-2 teskarisini topish uchun har birining teskarisini toping.
10x-12=-5x+2+3\left(3x+2\right)
-2 ning teskarisi 2 ga teng.
10x-12=-5x+2+9x+6
3 ga 3x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
10x-12=4x+2+6
4x ni olish uchun -5x va 9x ni birlashtirish.
10x-12=4x+8
8 olish uchun 2 va 6'ni qo'shing.
10x-12-4x=8
Ikkala tarafdan 4x ni ayirish.
6x-12=8
6x ni olish uchun 10x va -4x ni birlashtirish.
6x=8+12
12 ni ikki tarafga qo’shing.
6x=20
20 olish uchun 8 va 12'ni qo'shing.
x=\frac{20}{6}
Ikki tarafini 6 ga bo‘ling.
x=\frac{10}{3}
\frac{20}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
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}