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
For the quotient to be negative, -\frac{3m}{2}+1 and 3m-2 have to be of the opposite signs. 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.
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