a uchun yechish
a=-\frac{10}{21}\approx -0,476190476
Viktorina
Linear Equation
\frac { a } { 2 } + \frac { 2 } { 3 } = \frac { 3 a } { 5 } + \frac { 5 } { 7 }
Baham ko'rish
Klipbordga nusxa olish
105a+140=42\times 3a+150
Tenglamaning ikkala tarafini 210 ga, 2,3,5,7 ning eng kichik karralisiga ko‘paytiring.
105a+140=126a+150
126 hosil qilish uchun 42 va 3 ni ko'paytirish.
105a+140-126a=150
Ikkala tarafdan 126a ni ayirish.
-21a+140=150
-21a ni olish uchun 105a va -126a ni birlashtirish.
-21a=150-140
Ikkala tarafdan 140 ni ayirish.
-21a=10
10 olish uchun 150 dan 140 ni ayirish.
a=\frac{10}{-21}
Ikki tarafini -21 ga bo‘ling.
a=-\frac{10}{21}
\frac{10}{-21} kasri manfiy belgini olib tashlash bilan -\frac{10}{21} sifatida qayta yozilishi 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}