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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

-a^{2}-a+2
Whakarea ka paheko i ngā kīanga tau ōrite.
p+q=-1 pq=-2=-2
Whakatauwehea te kīanga mā te whakarōpū. Tuatahi, me tuhi anō te kīanga hei -a^{2}+pa+qa+2. Hei kimi p me q, whakaritea tētahi pūnaha kia whakaoti.
p=1 q=-2
I te mea kua tōraro te pq, he tauaro ngā tohu o p me q. I te mea kua tōraro te p+q, he nui ake te uara pū o te tau tōraro i tō te tōrunga. Ko te takirua anake pērā ko te otinga pūnaha.
\left(-a^{2}+a\right)+\left(-2a+2\right)
Tuhia anō te -a^{2}-a+2 hei \left(-a^{2}+a\right)+\left(-2a+2\right).
a\left(-a+1\right)+2\left(-a+1\right)
Tauwehea te a i te tuatahi me te 2 i te rōpū tuarua.
\left(-a+1\right)\left(a+2\right)
Whakatauwehea atu te kīanga pātahi -a+1 mā te whakamahi i te āhuatanga tātai tohatoha.
2-a-a^{2}
Whakareatia te a ki te a, ka a^{2}.