Whakaoti i te 6y+69y=545sqrt{9x}

$$6y+69y = 545 \sqrt{ 9x }$$

Whakaoti mō y (complex solution)

$$y=\frac{109\sqrt{x}}{5}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Pahekotia te 6y me 69y, ka 75y.

$$75y=545\sqrt{9x}$$

Whakawehea ngā taha e rua ki te 75.

$$\frac{75y}{75}=\frac{1635\sqrt{x}}{75}$$

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

$$y=\frac{1635\sqrt{x}}{75}$$

Whakawehe 1635\sqrt{x} ki te 75.

$$y=\frac{109\sqrt{x}}{5}$$

Whakaoti mō x

$$x=\frac{25y^{2}}{11881}$$

$$y\geq 0$$

Ngā Upane mō te Whakaoti Whārite Pūtake

Pahekotia te 6y me 69y, ka 75y.

$$75y=545\sqrt{9x}$$

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

$$545\sqrt{9x}=75y$$

Whakawehea ngā taha e rua ki te 545.

$$\frac{545\sqrt{9x}}{545}=\frac{75y}{545}$$

Mā te whakawehe ki te 545 ka wetekia te whakareanga ki te 545.

$$\sqrt{9x}=\frac{75y}{545}$$

Whakawehe 75y ki te 545.

$$\sqrt{9x}=\frac{15y}{109}$$

Pūruatia ngā taha e rua o te whārite.

$$9x=\frac{225y^{2}}{11881}$$

Whakawehea ngā taha e rua ki te 9.

$$\frac{9x}{9}=\frac{225y^{2}}{9\times 11881}$$

Mā te whakawehe ki te 9 ka wetekia te whakareanga ki te 9.

$$x=\frac{225y^{2}}{9\times 11881}$$

Whakawehe \frac{225y^{2}}{11881} ki te 9.

$$x=\frac{25y^{2}}{11881}$$

Whakaoti mō y

$$y=\frac{109\sqrt{x}}{5}$$

$$x\geq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Pahekotia te 6y me 69y, ka 75y.

$$75y=545\sqrt{9x}$$

Whakawehea ngā taha e rua ki te 75.

$$\frac{75y}{75}=\frac{1635\sqrt{x}}{75}$$

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

$$y=\frac{1635\sqrt{x}}{75}$$

Whakawehe 1635\sqrt{x} ki te 75.

$$y=\frac{109\sqrt{x}}{5}$$

Whakaoti mō x (complex solution)

$$x=\frac{25y^{2}}{11881}$$

$$arg(y)<\pi \text{ or }y=0$$