x uchun yechish
x = \frac{8}{7} = 1\frac{1}{7} \approx 1,142857143
Grafik
Baham ko'rish
Klipbordga nusxa olish
3\left(x+1\right)-5\left(2x-1\right)=0
Tenglamaning ikkala tarafini 15 ga, 5,3 ning eng kichik karralisiga ko‘paytiring.
3x+3-5\left(2x-1\right)=0
3 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
3x+3-10x+5=0
-5 ga 2x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-7x+3+5=0
-7x ni olish uchun 3x va -10x ni birlashtirish.
-7x+8=0
8 olish uchun 3 va 5'ni qo'shing.
-7x=-8
Ikkala tarafdan 8 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.
x=\frac{-8}{-7}
Ikki tarafini -7 ga bo‘ling.
x=\frac{8}{7}
Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-8}{-7} kasrini \frac{8}{7} ga soddalashtirish mumkin.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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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}