x uchun yechish
x = \frac{30}{7} = 4\frac{2}{7} \approx 4,285714286
Grafik
Viktorina
Linear Equation
5xshash muammolar:
\frac { x } { 5 } + \frac { 1 } { 3 } = \frac { 2 x - 5 } { 3 }
Baham ko'rish
Klipbordga nusxa olish
3x+5=5\left(2x-5\right)
Tenglamaning ikkala tarafini 15 ga, 5,3 ning eng kichik karralisiga ko‘paytiring.
3x+5=10x-25
5 ga 2x-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
3x+5-10x=-25
Ikkala tarafdan 10x ni ayirish.
-7x+5=-25
-7x ni olish uchun 3x va -10x ni birlashtirish.
-7x=-25-5
Ikkala tarafdan 5 ni ayirish.
-7x=-30
-30 olish uchun -25 dan 5 ni ayirish.
x=\frac{-30}{-7}
Ikki tarafini -7 ga bo‘ling.
x=\frac{30}{7}
Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-30}{-7} kasrini \frac{30}{7} 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}