x uchun yechish
x=-\frac{8}{17}\approx -0,470588235
Grafik
Viktorina
Linear Equation
\frac { 6 } { 2 } \times \frac { 3 } { 4 } x - \frac { 7 } { 2 } x = 3 x + 2
Baham ko'rish
Klipbordga nusxa olish
3\times \frac{3}{4}x-\frac{7}{2}x=3x+2
3 ni olish uchun 6 ni 2 ga bo‘ling.
\frac{3\times 3}{4}x-\frac{7}{2}x=3x+2
3\times \frac{3}{4} ni yagona kasrga aylantiring.
\frac{9}{4}x-\frac{7}{2}x=3x+2
9 hosil qilish uchun 3 va 3 ni ko'paytirish.
-\frac{5}{4}x=3x+2
-\frac{5}{4}x ni olish uchun \frac{9}{4}x va -\frac{7}{2}x ni birlashtirish.
-\frac{5}{4}x-3x=2
Ikkala tarafdan 3x ni ayirish.
-\frac{17}{4}x=2
-\frac{17}{4}x ni olish uchun -\frac{5}{4}x va -3x ni birlashtirish.
x=2\left(-\frac{4}{17}\right)
Ikki tarafini -\frac{4}{17} va teskari kasri -\frac{17}{4} ga ko‘paytiring.
x=\frac{2\left(-4\right)}{17}
2\left(-\frac{4}{17}\right) ni yagona kasrga aylantiring.
x=\frac{-8}{17}
-8 hosil qilish uchun 2 va -4 ni ko'paytirish.
x=-\frac{8}{17}
\frac{-8}{17} kasri manfiy belgini olib tashlash bilan -\frac{8}{17} sifatida qayta yozilishi mumkin.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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Chiziqli tenglama
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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}