Whakaoti i te sqrt{x+3}=sqrt{2x-3}

$$\sqrt { x + 3 } = \sqrt { 2 x - 3 }$$

Whakaoti mō x

$$x=6$$

Ngā Upane Otinga

Pūruatia ngā taha e rua o te whārite.

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

Tātaihia te \sqrt{x+3} mā te pū o 2, kia riro ko x+3.

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

Tātaihia te \sqrt{2x-3} mā te pū o 2, kia riro ko 2x-3.

$$x+3=2x-3$$

Tangohia te 2x mai i ngā taha e rua.

$$x+3-2x=-3$$

Pahekotia te x me -2x, ka -x.

$$-x+3=-3$$

Tangohia te 3 mai i ngā taha e rua.

$$-x=-3-3$$

Tangohia te 3 i te -3, ka -6.

$$-x=-6$$

Me whakarea ngā taha e rua ki te -1.

$$x=6$$

Whakakapia te 6 mō te x i te whārite \sqrt{x+3}=\sqrt{2x-3}.

$$\sqrt{6+3}=\sqrt{2\times 6-3}$$

Whakarūnātia. Ko te uara x=6 kua ngata te whārite.

$$3=3$$

Ko te whārite \sqrt{x+3}=\sqrt{2x-3} he rongoā ahurei.

$$x=6$$