Whakaoti i te 3x=5sqrt{x}

$$3 x = 5 \sqrt { x }$$

Whakaoti mō x

$$x=0$$

$$x = \frac{25}{9} = 2\frac{7}{9} \approx 2.777777778$$

Ngā Upane Otinga

Pūruatia ngā taha e rua o te whārite.

$$\left(3x\right)^{2}=\left(5\sqrt{x}\right)^{2}$$

Whakarohaina te \left(3x\right)^{2}.

$$3^{2}x^{2}=\left(5\sqrt{x}\right)^{2}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$9x^{2}=\left(5\sqrt{x}\right)^{2}$$

Whakarohaina te \left(5\sqrt{x}\right)^{2}.

$$9x^{2}=5^{2}\left(\sqrt{x}\right)^{2}$$

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$9x^{2}=25\left(\sqrt{x}\right)^{2}$$

Tātaihia te \sqrt{x} mā te pū o 2, kia riro ko x.

$$9x^{2}=25x$$

Tangohia te 25x mai i ngā taha e rua.

$$9x^{2}-25x=0$$

Tauwehea te x.

$$x\left(9x-25\right)=0$$

Hei kimi otinga whārite, me whakaoti te x=0 me te 9x-25=0.

$$x=0 x=\frac{25}{9}$$

Whakakapia te 0 mō te x i te whārite 3x=5\sqrt{x}.

$$3\times 0=5\sqrt{0}$$

Whakarūnātia. Ko te uara x=0 kua ngata te whārite.

$$0=0$$

Whakakapia te \frac{25}{9} mō te x i te whārite 3x=5\sqrt{x}.

$$3\times \frac{25}{9}=5\sqrt{\frac{25}{9}}$$

Whakarūnātia. Ko te uara x=\frac{25}{9} kua ngata te whārite.

$$\frac{25}{3}=\frac{25}{3}$$

Rārangihia ngā rongoā katoa o 3x=5\sqrt{x}.

$$x=0 x=\frac{25}{9}$$