x uchun yechish
x = -\frac{7}{4} = -1\frac{3}{4} = -1,75
Grafik
Viktorina
Linear Equation
5xshash muammolar:
\frac { 5 } { 2 } x + 4 = \frac { 1 } { 2 } + \frac { 1 } { 2 } x
Baham ko'rish
Klipbordga nusxa olish
\frac{5}{2}x+4-\frac{1}{2}x=\frac{1}{2}
Ikkala tarafdan \frac{1}{2}x ni ayirish.
2x+4=\frac{1}{2}
2x ni olish uchun \frac{5}{2}x va -\frac{1}{2}x ni birlashtirish.
2x=\frac{1}{2}-4
Ikkala tarafdan 4 ni ayirish.
2x=\frac{1}{2}-\frac{8}{2}
4 ni \frac{8}{2} kasrga o‘giring.
2x=\frac{1-8}{2}
\frac{1}{2} va \frac{8}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
2x=-\frac{7}{2}
-7 olish uchun 1 dan 8 ni ayirish.
x=\frac{-\frac{7}{2}}{2}
Ikki tarafini 2 ga bo‘ling.
x=\frac{-7}{2\times 2}
\frac{-\frac{7}{2}}{2} ni yagona kasrga aylantiring.
x=\frac{-7}{4}
4 hosil qilish uchun 2 va 2 ni ko'paytirish.
x=-\frac{7}{4}
\frac{-7}{4} kasri manfiy belgini olib tashlash bilan -\frac{7}{4} sifatida qayta yozilishi mumkin.
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
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}