Whakaoti i te sqrt{3n+8}-5=0

$$\sqrt { 3 n + 8 } - 5 = 0$$

Whakaoti mō n

$$n = \frac{17}{3} = 5\frac{2}{3} \approx 5.666666667$$

Ngā Upane mō te Whakaoti Whārite Pūtake

Me tāpiri 5 ki ngā taha e rua o te whārite.

$$\sqrt{3n+8}-5-\left(-5\right)=-\left(-5\right)$$

Mā te tango i te -5 i a ia ake anō ka toe ko te 0.

$$\sqrt{3n+8}=-\left(-5\right)$$

Tango -5 mai i 0.

$$\sqrt{3n+8}=5$$

Pūruatia ngā taha e rua o te whārite.

$$3n+8=25$$

Me tango 8 mai i ngā taha e rua o te whārite.

$$3n+8-8=25-8$$

Mā te tango i te 8 i a ia ake anō ka toe ko te 0.

$$3n=25-8$$

Tango 8 mai i 25.

$$3n=17$$

Whakawehea ngā taha e rua ki te 3.

$$\frac{3n}{3}=\frac{17}{3}$$

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

$$n=\frac{17}{3}$$