x uchun yechish
x\in \left(2,4\right)
Grafik
Baham ko'rish
Klipbordga nusxa olish
4-x<0 x-2<0
For the quotient to be positive, 4-x and x-2 have to be both negative or both positive. 4-x va x-2 ikkalasi manfiy boʻlganda, yechimini toping.
x\in \emptyset
Bu har qanday x uchun xato.
x-2>0 4-x>0
4-x va x-2 ikkalasi musbat boʻlganda, yechimini toping.
x\in \left(2,4\right)
Ikkala tengsizlikning mos yechimi – x\in \left(2,4\right).
x\in \left(2,4\right)
Oxirgi yechim olingan yechimlarning birlashmasidir.
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}