Whakaoti i te x+75y-z726=left(8xright)^2

$$x+75y-z726= { \left(8x \right) }^{ 2 }$$

Whakaoti mō y

$$y=\frac{64x^{2}-x+z_{726}}{75}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakarohaina te \left(8x\right)^{2}.

$$x+75y-z_{726}=8^{2}x^{2}$$

Tātaihia te 8 mā te pū o 2, kia riro ko 64.

$$x+75y-z_{726}=64x^{2}$$

Tangohia te x mai i ngā taha e rua.

$$75y-z_{726}=64x^{2}-x$$

Me tāpiri te z_{726} ki ngā taha e rua.

$$75y=64x^{2}-x+z_{726}$$

Whakawehea ngā taha e rua ki te 75.

$$\frac{75y}{75}=\frac{64x^{2}-x+z_{726}}{75}$$

Mā te whakawehe ki te 75 ka wetekia te whakareanga ki te 75.

$$y=\frac{64x^{2}-x+z_{726}}{75}$$

Whakaoti mō x (complex solution)

$$x=\frac{-\sqrt{19200y-256z_{726}+1}+1}{128}$$

$$x=\frac{\sqrt{19200y-256z_{726}+1}+1}{128}$$

Whakaoti mō x

$$x=\frac{-\sqrt{19200y-256z_{726}+1}+1}{128}$$

$$x=\frac{\sqrt{19200y-256z_{726}+1}+1}{128}\text{, }y\geq \frac{z_{726}}{75}-\frac{1}{19200}$$