Whakaoti i te sqrt{x}-2=sqrt{x-56}

$$\sqrt { x } - 2 = \sqrt { x - 56 }$$

Whakaoti mō x

$$x=225$$

Ngā Upane Otinga

Pūruatia ngā taha e rua o te whārite.

$$\left(\sqrt{x}-2\right)^{2}=\left(\sqrt{x-56}\right)^{2}$$

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(\sqrt{x}-2\right)^{2}.

$$\left(\sqrt{x}\right)^{2}-4\sqrt{x}+4=\left(\sqrt{x-56}\right)^{2}$$

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

$$x-4\sqrt{x}+4=\left(\sqrt{x-56}\right)^{2}$$

Tātaihia te \sqrt{x-56} mā te pū o 2, kia riro ko x-56.

$$x-4\sqrt{x}+4=x-56$$

Tangohia te x mai i ngā taha e rua.

$$x-4\sqrt{x}+4-x=-56$$

Pahekotia te x me -x, ka 0.

$$-4\sqrt{x}+4=-56$$

Tangohia te 4 mai i ngā taha e rua.

$$-4\sqrt{x}=-56-4$$

Tangohia te 4 i te -56, ka -60.

$$-4\sqrt{x}=-60$$

Whakawehea ngā taha e rua ki te -4.

$$\sqrt{x}=\frac{-60}{-4}$$

Whakawehea te -60 ki te -4, kia riro ko 15.

$$\sqrt{x}=15$$

Pūruatia ngā taha e rua o te whārite.

$$x=225$$

Whakakapia te 225 mō te x i te whārite \sqrt{x}-2=\sqrt{x-56}.

$$\sqrt{225}-2=\sqrt{225-56}$$

Whakarūnātia. Ko te uara x=225 kua ngata te whārite.

$$13=13$$

Ko te whārite \sqrt{x}-2=\sqrt{x-56} he rongoā ahurei.

$$x=225$$