Whakaoti i te 190cm^2=60cm^2+26acm

$$190 cm ^ { 2 } = 60 cm ^ { 2 } + 26 acm$$

Whakaoti mō a (complex solution)

$$\left\{\begin{matrix}\\a=5m\text{, }&\text{unconditionally}\\a\in \mathrm{C}\text{, }&m=0\text{ or }c=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$60cm^{2}+26acm=190cm^{2}$$

Tangohia te 60cm^{2} mai i ngā taha e rua.

$$26acm=190cm^{2}-60cm^{2}$$

Pahekotia te 190cm^{2} me -60cm^{2}, ka 130cm^{2}.

$$26acm=130cm^{2}$$

He hanga arowhānui tō te whārite.

$$26cma=130cm^{2}$$

Whakawehea ngā taha e rua ki te 26cm.

$$\frac{26cma}{26cm}=\frac{130cm^{2}}{26cm}$$

Mā te whakawehe ki te 26cm ka wetekia te whakareanga ki te 26cm.

$$a=\frac{130cm^{2}}{26cm}$$

Whakawehe 130cm^{2} ki te 26cm.

$$a=5m$$

Whakaoti mō c (complex solution)

$$\left\{\begin{matrix}\\c=0\text{, }&\text{unconditionally}\\c\in \mathrm{C}\text{, }&m=\frac{a}{5}\text{ or }m=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 60cm^{2} mai i ngā taha e rua.

$$190cm^{2}-60cm^{2}=26acm$$

Pahekotia te 190cm^{2} me -60cm^{2}, ka 130cm^{2}.

$$130cm^{2}=26acm$$

Tangohia te 26acm mai i ngā taha e rua.

$$130cm^{2}-26acm=0$$

Pahekotia ngā kīanga tau katoa e whai ana i te c.

$$\left(130m^{2}-26am\right)c=0$$

Whakawehe 0 ki te 130m^{2}-26am.

$$c=0$$

Whakaoti mō a

$$\left\{\begin{matrix}\\a=5m\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&m=0\text{ or }c=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$60cm^{2}+26acm=190cm^{2}$$

Tangohia te 60cm^{2} mai i ngā taha e rua.

$$26acm=190cm^{2}-60cm^{2}$$

Pahekotia te 190cm^{2} me -60cm^{2}, ka 130cm^{2}.

$$26acm=130cm^{2}$$

He hanga arowhānui tō te whārite.

$$26cma=130cm^{2}$$

Whakawehea ngā taha e rua ki te 26cm.

$$\frac{26cma}{26cm}=\frac{130cm^{2}}{26cm}$$

Mā te whakawehe ki te 26cm ka wetekia te whakareanga ki te 26cm.

$$a=\frac{130cm^{2}}{26cm}$$

Whakawehe 130cm^{2} ki te 26cm.

$$a=5m$$

Whakaoti mō c

$$\left\{\begin{matrix}\\c=0\text{, }&\text{unconditionally}\\c\in \mathrm{R}\text{, }&m=\frac{a}{5}\text{ or }m=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 60cm^{2} mai i ngā taha e rua.

$$190cm^{2}-60cm^{2}=26acm$$

Pahekotia te 190cm^{2} me -60cm^{2}, ka 130cm^{2}.

$$130cm^{2}=26acm$$

Tangohia te 26acm mai i ngā taha e rua.

$$130cm^{2}-26acm=0$$

Pahekotia ngā kīanga tau katoa e whai ana i te c.

$$\left(130m^{2}-26am\right)c=0$$

Whakawehe 0 ki te 130m^{2}-26am.

$$c=0$$