x uchun yechish
x=-\frac{5}{8}=-0,625
Grafik
Viktorina
Linear Equation
( \frac { 4 } { 3 } x + \frac { 1 } { 3 } ) \cdot \frac { 1 } { 2 } = 2 x + 1
Baham ko'rish
Klipbordga nusxa olish
\frac{4}{3}x\times \frac{1}{2}+\frac{1}{3}\times \frac{1}{2}=2x+1
\frac{4}{3}x+\frac{1}{3} ga \frac{1}{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{4\times 1}{3\times 2}x+\frac{1}{3}\times \frac{1}{2}=2x+1
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{3} ni \frac{1}{2} ga ko‘paytiring.
\frac{4}{6}x+\frac{1}{3}\times \frac{1}{2}=2x+1
\frac{4\times 1}{3\times 2} kasridagi ko‘paytirishlarni bajaring.
\frac{2}{3}x+\frac{1}{3}\times \frac{1}{2}=2x+1
\frac{4}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
\frac{2}{3}x+\frac{1\times 1}{3\times 2}=2x+1
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{3} ni \frac{1}{2} ga ko‘paytiring.
\frac{2}{3}x+\frac{1}{6}=2x+1
\frac{1\times 1}{3\times 2} kasridagi ko‘paytirishlarni bajaring.
\frac{2}{3}x+\frac{1}{6}-2x=1
Ikkala tarafdan 2x ni ayirish.
-\frac{4}{3}x+\frac{1}{6}=1
-\frac{4}{3}x ni olish uchun \frac{2}{3}x va -2x ni birlashtirish.
-\frac{4}{3}x=1-\frac{1}{6}
Ikkala tarafdan \frac{1}{6} ni ayirish.
-\frac{4}{3}x=\frac{6}{6}-\frac{1}{6}
1 ni \frac{6}{6} kasrga o‘giring.
-\frac{4}{3}x=\frac{6-1}{6}
\frac{6}{6} va \frac{1}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
-\frac{4}{3}x=\frac{5}{6}
5 olish uchun 6 dan 1 ni ayirish.
x=\frac{5}{6}\left(-\frac{3}{4}\right)
Ikki tarafini -\frac{3}{4} va teskari kasri -\frac{4}{3} ga ko‘paytiring.
x=\frac{5\left(-3\right)}{6\times 4}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{6} ni -\frac{3}{4} ga ko‘paytiring.
x=\frac{-15}{24}
\frac{5\left(-3\right)}{6\times 4} kasridagi ko‘paytirishlarni bajaring.
x=-\frac{5}{8}
\frac{-15}{24} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
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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
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Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
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Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}