Whakaoti i te 3left(x-2right)^2-2=0

$$3 { \left(x-2 \right) }^{ 2 } -2=0$$

Whakaoti mō x

$$x=\frac{\sqrt{6}}{3}+2\approx 2.816496581$$

$$x=-\frac{\sqrt{6}}{3}+2\approx 1.183503419$$

Ngā Upane mā te Kimi Pūtakerua

Me tāpiri 2 ki ngā taha e rua o te whārite.

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

Mā te tango i te 2 i a ia ake anō ka toe ko te 0.

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

Whakawehea ngā taha e rua ki te 3.

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

Mā te whakawehe ki te 3 ka wetekia te whakareanga ki te 3.

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

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

$$x-2=\frac{\sqrt{6}}{3} x-2=-\frac{\sqrt{6}}{3}$$

Me tāpiri 2 ki ngā taha e rua o te whārite.

$$x-2-\left(-2\right)=\frac{\sqrt{6}}{3}-\left(-2\right) x-2-\left(-2\right)=-\frac{\sqrt{6}}{3}-\left(-2\right)$$

Mā te tango i te -2 i a ia ake anō ka toe ko te 0.

$$x=\frac{\sqrt{6}}{3}-\left(-2\right) x=-\frac{\sqrt{6}}{3}-\left(-2\right)$$

Tango -2 mai i \frac{\sqrt{6}}{3}.

$$x=\frac{\sqrt{6}}{3}+2$$

Tango -2 mai i -\frac{\sqrt{6}}{3}.

$$x=-\frac{\sqrt{6}}{3}+2$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{6}}{3}+2 x=-\frac{\sqrt{6}}{3}+2$$