x uchun yechish
x=\frac{11}{14}\approx 0,785714286
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{3}{4}\times 2x+\frac{3}{4}\left(-1\right)=2-2x
\frac{3}{4} ga 2x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{3\times 2}{4}x+\frac{3}{4}\left(-1\right)=2-2x
\frac{3}{4}\times 2 ni yagona kasrga aylantiring.
\frac{6}{4}x+\frac{3}{4}\left(-1\right)=2-2x
6 hosil qilish uchun 3 va 2 ni ko'paytirish.
\frac{3}{2}x+\frac{3}{4}\left(-1\right)=2-2x
\frac{6}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
\frac{3}{2}x-\frac{3}{4}=2-2x
-\frac{3}{4} hosil qilish uchun \frac{3}{4} va -1 ni ko'paytirish.
\frac{3}{2}x-\frac{3}{4}+2x=2
2x ni ikki tarafga qo’shing.
\frac{7}{2}x-\frac{3}{4}=2
\frac{7}{2}x ni olish uchun \frac{3}{2}x va 2x ni birlashtirish.
\frac{7}{2}x=2+\frac{3}{4}
\frac{3}{4} ni ikki tarafga qo’shing.
\frac{7}{2}x=\frac{8}{4}+\frac{3}{4}
2 ni \frac{8}{4} kasrga o‘giring.
\frac{7}{2}x=\frac{8+3}{4}
\frac{8}{4} va \frac{3}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{7}{2}x=\frac{11}{4}
11 olish uchun 8 va 3'ni qo'shing.
x=\frac{11}{4}\times \frac{2}{7}
Ikki tarafini \frac{2}{7} va teskari kasri \frac{7}{2} ga ko‘paytiring.
x=\frac{11\times 2}{4\times 7}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{11}{4} ni \frac{2}{7} ga ko‘paytiring.
x=\frac{22}{28}
\frac{11\times 2}{4\times 7} kasridagi ko‘paytirishlarni bajaring.
x=\frac{11}{14}
\frac{22}{28} 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}