Aromātai (complex solution)
pono
m\neq \frac{2}{3}
Whakaoti mō m
m\neq \frac{2}{3}
Tohaina
Kua tāruatia ki te papatopenga
\frac{\frac{1}{2}\left(-3m+2\right)}{3m-2}<0
Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{1-\frac{3}{2}m}{3m-2}.
\frac{-\frac{1}{2}\left(3m-2\right)}{3m-2}<0
Unuhia te tohu tōraro i roto o 2-3m.
-\frac{1}{2}<0
Me whakakore tahi te 3m-2 i te taurunga me te tauraro.
\text{true}
Whakatauritea te -\frac{1}{2} me te 0.
-\frac{3m}{2}+1>0 3m-2<0
Kia tōraro ai te otinga, hei tauaro hoki ngā tohu o -\frac{3m}{2}+1 me 3m-2. Whakaarohia te tauira ina he tōrunga te -\frac{3m}{2}+1 he tōraro te 3m-2.
m<\frac{2}{3}
Te otinga e whakaea i ngā koreōrite e rua ko m<\frac{2}{3}.
3m-2>0 -\frac{3m}{2}+1<0
Whakaarohia te tauira ina he tōrunga te 3m-2 he tōraro te -\frac{3m}{2}+1.
m>\frac{2}{3}
Te otinga e whakaea i ngā koreōrite e rua ko m>\frac{2}{3}.
m\neq \frac{2}{3}
Ko te otinga whakamutunga ko te whakakotahi i ngā otinga kua whiwhi.
Ngā Tauira
whārite tapawhā
{ x } ^ { 2 } - 4 x - 5 = 0
Āhuahanga
4 \sin \theta \cos \theta = 2 \sin \theta
whārite paerangi
y = 3x + 4
Arithmetic
699 * 533
Poukapa
\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]
whārite Simultaneous
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Whakarerekētanga
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Whakaurunga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Ngā Tepe
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}