Whakaoti i te operatorname{gcd}(98.72)=98x+72y*9

$$\operatorname { gcd } ( 98.72 ) = 98 x + 72 y \cdot 9$$

Whakaoti mō c (complex solution)

$$\left\{\begin{matrix}c=\frac{25\left(49x+324y\right)}{1234dg}\text{, }&d\neq 0\text{ and }g\neq 0\\c\in \mathrm{C}\text{, }&x=-\frac{324y}{49}\text{ and }\left(d=0\text{ or }g=0\right)\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 72 ki te 9, ka 648.

$$gcd\times 98.72=98x+648y$$

He hanga arowhānui tō te whārite.

$$\frac{2468dg}{25}c=98x+648y$$

Whakawehea ngā taha e rua ki te 98.72gd.

$$\frac{25\times \frac{2468dg}{25}c}{2468dg}=\frac{25\left(98x+648y\right)}{2468dg}$$

Mā te whakawehe ki te 98.72gd ka wetekia te whakareanga ki te 98.72gd.

$$c=\frac{25\left(98x+648y\right)}{2468dg}$$

Whakawehe 98x+648y ki te 98.72gd.

$$c=\frac{25\left(49x+324y\right)}{1234dg}$$

Whakaoti mō d (complex solution)

$$\left\{\begin{matrix}d=\frac{25\left(49x+324y\right)}{1234cg}\text{, }&c\neq 0\text{ and }g\neq 0\\d\in \mathrm{C}\text{, }&x=-\frac{324y}{49}\text{ and }\left(c=0\text{ or }g=0\right)\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 72 ki te 9, ka 648.

$$gcd\times 98.72=98x+648y$$

He hanga arowhānui tō te whārite.

$$\frac{2468cg}{25}d=98x+648y$$

Whakawehea ngā taha e rua ki te 98.72gc.

$$\frac{25\times \frac{2468cg}{25}d}{2468cg}=\frac{25\left(98x+648y\right)}{2468cg}$$

Mā te whakawehe ki te 98.72gc ka wetekia te whakareanga ki te 98.72gc.

$$d=\frac{25\left(98x+648y\right)}{2468cg}$$

Whakawehe 98x+648y ki te 98.72gc.

$$d=\frac{25\left(49x+324y\right)}{1234cg}$$

Whakaoti mō c

$$\left\{\begin{matrix}c=\frac{25\left(49x+324y\right)}{1234dg}\text{, }&d\neq 0\text{ and }g\neq 0\\c\in \mathrm{R}\text{, }&x=-\frac{324y}{49}\text{ and }\left(d=0\text{ or }g=0\right)\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 72 ki te 9, ka 648.

$$gcd\times 98.72=98x+648y$$

He hanga arowhānui tō te whārite.

$$\frac{2468dg}{25}c=98x+648y$$

Whakawehea ngā taha e rua ki te 98.72gd.

$$\frac{25\times \frac{2468dg}{25}c}{2468dg}=\frac{25\left(98x+648y\right)}{2468dg}$$

Mā te whakawehe ki te 98.72gd ka wetekia te whakareanga ki te 98.72gd.

$$c=\frac{25\left(98x+648y\right)}{2468dg}$$

Whakawehe 98x+648y ki te 98.72gd.

$$c=\frac{25\left(49x+324y\right)}{1234dg}$$

Whakaoti mō d

$$\left\{\begin{matrix}d=\frac{25\left(49x+324y\right)}{1234cg}\text{, }&c\neq 0\text{ and }g\neq 0\\d\in \mathrm{R}\text{, }&x=-\frac{324y}{49}\text{ and }\left(c=0\text{ or }g=0\right)\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 72 ki te 9, ka 648.

$$gcd\times 98.72=98x+648y$$

He hanga arowhānui tō te whārite.

$$\frac{2468cg}{25}d=98x+648y$$

Whakawehea ngā taha e rua ki te 98.72gc.

$$\frac{25\times \frac{2468cg}{25}d}{2468cg}=\frac{25\left(98x+648y\right)}{2468cg}$$

Mā te whakawehe ki te 98.72gc ka wetekia te whakareanga ki te 98.72gc.

$$d=\frac{25\left(98x+648y\right)}{2468cg}$$

Whakawehe 98x+648y ki te 98.72gc.

$$d=\frac{25\left(49x+324y\right)}{1234cg}$$