x uchun yechish
x = \frac{15}{11} = 1\frac{4}{11} \approx 1,363636364
x'ni tayinlash
x≔\frac{15}{11}
Grafik
Baham ko'rish
Klipbordga nusxa olish
x=\frac{5-\frac{4\left(-5\right)}{11}}{5}
4\left(-\frac{5}{11}\right) ni yagona kasrga aylantiring.
x=\frac{5-\frac{-20}{11}}{5}
-20 hosil qilish uchun 4 va -5 ni ko'paytirish.
x=\frac{5-\left(-\frac{20}{11}\right)}{5}
\frac{-20}{11} kasri manfiy belgini olib tashlash bilan -\frac{20}{11} sifatida qayta yozilishi mumkin.
x=\frac{5+\frac{20}{11}}{5}
-\frac{20}{11} ning teskarisi \frac{20}{11} ga teng.
x=\frac{\frac{55}{11}+\frac{20}{11}}{5}
5 ni \frac{55}{11} kasrga o‘giring.
x=\frac{\frac{55+20}{11}}{5}
\frac{55}{11} va \frac{20}{11} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
x=\frac{\frac{75}{11}}{5}
75 olish uchun 55 va 20'ni qo'shing.
x=\frac{75}{11\times 5}
\frac{\frac{75}{11}}{5} ni yagona kasrga aylantiring.
x=\frac{75}{55}
55 hosil qilish uchun 11 va 5 ni ko'paytirish.
x=\frac{15}{11}
\frac{75}{55} ulushini 5 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}