Whakaoti i te 49=a(1^2)+b(1)d

$$49 = a ( 1 ^ { 2 } ) + b ( 1 ) d$$

Whakaoti mō a

$$a=49-bd$$

Ngā Upane Otinga

Tātaihia te 1 mā te pū o 2, kia riro ko 1.

$$49=a\times 1+b\times 1d$$

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

$$a\times 1+b\times 1d=49$$

Tangohia te b\times 1d mai i ngā taha e rua.

$$a\times 1=49-b\times 1d$$

Whakaraupapatia anō ngā kīanga tau.

$$a=49-bd$$

Whakaraupapatia anō ngā kīanga tau.

$$a=-bd+49$$

Whakaoti mō b

$$\left\{\begin{matrix}b=-\frac{a-49}{d}\text{, }&d\neq 0\\b\in \mathrm{R}\text{, }&a=49\text{ and }d=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tātaihia te 1 mā te pū o 2, kia riro ko 1.

$$49=a\times 1+b\times 1d$$

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

$$a\times 1+b\times 1d=49$$

Tangohia te a\times 1 mai i ngā taha e rua.

$$b\times 1d=49-a\times 1$$

Whakaraupapatia anō ngā kīanga tau.

$$bd=49-a$$

He hanga arowhānui tō te whārite.

$$db=49-a$$

Whakawehea ngā taha e rua ki te d.

$$\frac{db}{d}=\frac{49-a}{d}$$

Mā te whakawehe ki te d ka wetekia te whakareanga ki te d.

$$b=\frac{49-a}{d}$$