Whakaoti i te 4x=3sqrt{x}

$$4x=3 \sqrt{ x }$$

Whakaoti mō x

$$x=0$$

$$x=\frac{9}{16}=0.5625$$

Ngā Upane Otinga

Pūruatia ngā taha e rua o te whārite.

$$\left(4x\right)^{2}=\left(3\sqrt{x}\right)^{2}$$

Whakarohaina te \left(4x\right)^{2}.

$$4^{2}x^{2}=\left(3\sqrt{x}\right)^{2}$$

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

$$16x^{2}=\left(3\sqrt{x}\right)^{2}$$

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

$$16x^{2}=3^{2}\left(\sqrt{x}\right)^{2}$$

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

$$16x^{2}=9\left(\sqrt{x}\right)^{2}$$

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

$$16x^{2}=9x$$

Tangohia te 9x mai i ngā taha e rua.

$$16x^{2}-9x=0$$

Tauwehea te x.

$$x\left(16x-9\right)=0$$

Hei kimi otinga whārite, me whakaoti te x=0 me te 16x-9=0.

$$x=0 x=\frac{9}{16}$$

Whakakapia te 0 mō te x i te whārite 4x=3\sqrt{x}.

$$4\times 0=3\sqrt{0}$$

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

$$0=0$$

Whakakapia te \frac{9}{16} mō te x i te whārite 4x=3\sqrt{x}.

$$4\times \frac{9}{16}=3\sqrt{\frac{9}{16}}$$

Whakarūnātia. Ko te uara x=\frac{9}{16} kua ngata te whārite.

$$\frac{9}{4}=\frac{9}{4}$$

Rārangihia ngā rongoā katoa o 4x=3\sqrt{x}.

$$x=0 x=\frac{9}{16}$$