Whakaoti i te 3sqrt{2x-1}=sqrt{8}

$$3 \sqrt { 2 x - 1 } = \sqrt { 8 }$$

Whakaoti mō x

$$x=\frac{17}{18}\approx 0.944444444$$

Ngā Upane mō te Whakaoti Whārite Pūtake

Whakawehea ngā taha e rua ki te 3.

$$\frac{3\sqrt{2x-1}}{3}=\frac{2\sqrt{2}}{3}$$

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

$$\sqrt{2x-1}=\frac{2\sqrt{2}}{3}$$

Pūruatia ngā taha e rua o te whārite.

$$2x-1=\frac{8}{9}$$

Me tāpiri 1 ki ngā taha e rua o te whārite.

$$2x-1-\left(-1\right)=\frac{8}{9}-\left(-1\right)$$

Mā te tango i te -1 i a ia ake anō ka toe ko te 0.

$$2x=\frac{8}{9}-\left(-1\right)$$

Tango -1 mai i \frac{8}{9}.

$$2x=\frac{17}{9}$$

Whakawehea ngā taha e rua ki te 2.

$$\frac{2x}{2}=\frac{\frac{17}{9}}{2}$$

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

$$x=\frac{\frac{17}{9}}{2}$$

Whakawehe \frac{17}{9} ki te 2.

$$x=\frac{17}{18}$$