x uchun yechish
x = -\frac{3}{2} = -1\frac{1}{2} = -1,5
Grafik
Viktorina
Linear Equation
5xshash muammolar:
\frac { 3 } { 4 } x + \frac { 3 } { 2 } = \frac { 3 } { 8 }
Baham ko'rish
Klipbordga nusxa olish
\frac{3}{4}x=\frac{3}{8}-\frac{3}{2}
Ikkala tarafdan \frac{3}{2} ni ayirish.
\frac{3}{4}x=\frac{3}{8}-\frac{12}{8}
8 va 2 ning eng kichik umumiy karralisi 8 ga teng. \frac{3}{8} va \frac{3}{2} ni 8 maxraj bilan kasrlarga aylantirib oling.
\frac{3}{4}x=\frac{3-12}{8}
\frac{3}{8} va \frac{12}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{3}{4}x=-\frac{9}{8}
-9 olish uchun 3 dan 12 ni ayirish.
x=-\frac{9}{8}\times \frac{4}{3}
Ikki tarafini \frac{4}{3} va teskari kasri \frac{3}{4} ga ko‘paytiring.
x=\frac{-9\times 4}{8\times 3}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{9}{8} ni \frac{4}{3} ga ko‘paytiring.
x=\frac{-36}{24}
\frac{-9\times 4}{8\times 3} kasridagi ko‘paytirishlarni bajaring.
x=-\frac{3}{2}
\frac{-36}{24} ulushini 12 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}