Whakaoti mō R (complex solution)
\left\{\begin{matrix}R=\frac{Mpv}{Tx}\text{, }&T\neq 0\text{ and }x\neq 0\text{ and }M\neq 0\\R\in \mathrm{C}\text{, }&\left(v=0\text{ and }T=0\text{ and }M\neq 0\right)\text{ or }\left(p=0\text{ and }T=0\text{ and }M\neq 0\right)\text{ or }\left(p=0\text{ and }x=0\text{ and }T\neq 0\text{ and }M\neq 0\right)\text{ or }\left(v=0\text{ and }x=0\text{ and }T\neq 0\text{ and }M\neq 0\right)\end{matrix}\right.
Whakaoti mō M
\left\{\begin{matrix}M=\frac{RTx}{pv}\text{, }&T\neq 0\text{ and }R\neq 0\text{ and }x\neq 0\text{ and }v\neq 0\text{ and }p\neq 0\\M\neq 0\text{, }&\left(p=0\text{ and }R=0\right)\text{ or }\left(p=0\text{ and }T=0\right)\text{ or }\left(v=0\text{ and }R=0\right)\text{ or }\left(v=0\text{ and }T=0\right)\text{ or }\left(v=0\text{ and }x=0\text{ and }T\neq 0\text{ and }R\neq 0\right)\text{ or }\left(p=0\text{ and }x=0\text{ and }T\neq 0\text{ and }R\neq 0\right)\end{matrix}\right.
Whakaoti mō R
\left\{\begin{matrix}R=\frac{Mpv}{Tx}\text{, }&T\neq 0\text{ and }x\neq 0\text{ and }M\neq 0\\R\in \mathrm{R}\text{, }&\left(v=0\text{ and }T=0\text{ and }M\neq 0\right)\text{ or }\left(p=0\text{ and }T=0\text{ and }M\neq 0\right)\text{ or }\left(p=0\text{ and }x=0\text{ and }T\neq 0\text{ and }M\neq 0\right)\text{ or }\left(v=0\text{ and }x=0\text{ and }T\neq 0\text{ and }M\neq 0\right)\end{matrix}\right.
Graph
Tohaina
Kua tāruatia ki te papatopenga
pvM=xRT
Whakareatia ngā taha e rua o te whārite ki te M.
xRT=pvM
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
TxR=Mpv
He hanga arowhānui tō te whārite.
\frac{TxR}{Tx}=\frac{Mpv}{Tx}
Whakawehea ngā taha e rua ki te xT.
R=\frac{Mpv}{Tx}
Mā te whakawehe ki te xT ka wetekia te whakareanga ki te xT.
pvM=xRT
Tē taea kia ōrite te tāupe M ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te M.
pvM=RTx
He hanga arowhānui tō te whārite.
\frac{pvM}{pv}=\frac{RTx}{pv}
Whakawehea ngā taha e rua ki te pv.
M=\frac{RTx}{pv}
Mā te whakawehe ki te pv ka wetekia te whakareanga ki te pv.
M=\frac{RTx}{pv}\text{, }M\neq 0
Tē taea kia ōrite te tāupe M ki 0.
pvM=xRT
Whakareatia ngā taha e rua o te whārite ki te M.
xRT=pvM
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
TxR=Mpv
He hanga arowhānui tō te whārite.
\frac{TxR}{Tx}=\frac{Mpv}{Tx}
Whakawehea ngā taha e rua ki te xT.
R=\frac{Mpv}{Tx}
Mā te whakawehe ki te xT ka wetekia te whakareanga ki te xT.
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