a uchun yechish
a=-\frac{7}{15}\approx -0,466666667
Viktorina
Linear Equation
\frac { a } { 3 } + \frac { 3 } { 5 } = \frac { 5 a } { 7 } + \frac { 7 } { 9 }
Baham ko'rish
Klipbordga nusxa olish
105a+189=45\times 5a+245
Tenglamaning ikkala tarafini 315 ga, 3,5,7,9 ning eng kichik karralisiga ko‘paytiring.
105a+189=225a+245
225 hosil qilish uchun 45 va 5 ni ko'paytirish.
105a+189-225a=245
Ikkala tarafdan 225a ni ayirish.
-120a+189=245
-120a ni olish uchun 105a va -225a ni birlashtirish.
-120a=245-189
Ikkala tarafdan 189 ni ayirish.
-120a=56
56 olish uchun 245 dan 189 ni ayirish.
a=\frac{56}{-120}
Ikki tarafini -120 ga bo‘ling.
a=-\frac{7}{15}
\frac{56}{-120} ulushini 8 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}