x uchun yechish
x=\frac{9}{11}\approx 0,818181818
Grafik
Baham ko'rish
Klipbordga nusxa olish
\left(4x-5\right)\times 15=\left(2x-3\right)\times 19
x qiymati \frac{5}{4},\frac{3}{2} qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(2x-3\right)\left(4x-5\right) ga, 2x-3,4x-5 ning eng kichik karralisiga ko‘paytiring.
60x-75=\left(2x-3\right)\times 19
4x-5 ga 15 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
60x-75=38x-57
2x-3 ga 19 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
60x-75-38x=-57
Ikkala tarafdan 38x ni ayirish.
22x-75=-57
22x ni olish uchun 60x va -38x ni birlashtirish.
22x=-57+75
75 ni ikki tarafga qo’shing.
22x=18
18 olish uchun -57 va 75'ni qo'shing.
x=\frac{18}{22}
Ikki tarafini 22 ga bo‘ling.
x=\frac{9}{11}
\frac{18}{22} 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}