Whakaoti i te x=3sqrt{x}

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

Whakaoti mō x

$$x=9$$

$$x=0$$

Ngā Upane Otinga

Pūruatia ngā taha e rua o te whārite.

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

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

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

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

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

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

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

Tangohia te 9x mai i ngā taha e rua.

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

Tauwehea te x.

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

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

$$x=0 x=9$$

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

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

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

$$0=0$$

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

$$9=3\sqrt{9}$$

Whakarūnātia. Ko te uara x=9 kua ngata te whārite.

$$9=9$$

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

$$x=0 x=9$$