Whakaoti i te 2(x-10)^2-48=0

$$2 ( x - 10 ) ^ { 2 } - 48 = 0$$

Whakaoti mō x

$$x=2\sqrt{6}+10\approx 14.898979486$$

$$x=10-2\sqrt{6}\approx 5.101020514$$

Ngā Upane mā te Kimi Pūtakerua

Me tāpiri 48 ki ngā taha e rua o te whārite.

$$2\left(x-10\right)^{2}-48+48=48$$

Mā te tango i te 48 i a ia ake anō ka toe ko te 0.

$$2\left(x-10\right)^{2}=48$$

Whakawehea ngā taha e rua ki te 2.

$$\frac{2\left(x-10\right)^{2}}{2}=\frac{48}{2}$$

Mā te whakawehe ki te 2 ka wetekia te whakareanga ki te 2.

$$\left(x-10\right)^{2}=\frac{48}{2}$$

Whakawehe 48 ki te 2.

$$\left(x-10\right)^{2}=24$$

Tuhia te pūtakerua o ngā taha e rua o te whārite.

$$x-10=2\sqrt{6} x-10=-2\sqrt{6}$$

Me tāpiri 10 ki ngā taha e rua o te whārite.

$$x-10-\left(-10\right)=2\sqrt{6}-\left(-10\right) x-10-\left(-10\right)=-2\sqrt{6}-\left(-10\right)$$

Mā te tango i te -10 i a ia ake anō ka toe ko te 0.

$$x=2\sqrt{6}-\left(-10\right) x=-2\sqrt{6}-\left(-10\right)$$

Tango -10 mai i 2\sqrt{6}.

$$x=2\sqrt{6}+10$$

Tango -10 mai i -2\sqrt{6}.

$$x=10-2\sqrt{6}$$

Kua oti te whārite te whakatau.

$$x=2\sqrt{6}+10 x=10-2\sqrt{6}$$