Whakaoti i te 0=9-2sqrt{2x+4}

$$0=9-2 \sqrt{ 2x+4 }$$

Whakaoti mō x

$$x = \frac{65}{8} = 8\frac{1}{8} = 8.125$$

Ngā Upane mō te Whakaoti Whārite Pūtake

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$9-2\sqrt{2x+4}=0$$

Tangohia te 9 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-2\sqrt{2x+4}=-9$$

Whakawehea ngā taha e rua ki te -2.

$$\sqrt{2x+4}=\frac{-9}{-2}$$

Ka taea te hautanga \frac{-9}{-2} te whakamāmā ki te \frac{9}{2} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$\sqrt{2x+4}=\frac{9}{2}$$

Pūruatia ngā taha e rua o te whārite.

$$2x+4=\frac{81}{4}$$

Me tango 4 mai i ngā taha e rua o te whārite.

$$2x+4-4=\frac{81}{4}-4$$

Mā te tango i te 4 i a ia ake anō ka toe ko te 0.

$$2x=\frac{81}{4}-4$$

Tango 4 mai i \frac{81}{4}.

$$2x=\frac{65}{4}$$

Whakawehea ngā taha e rua ki te 2.

$$\frac{2x}{2}=\frac{\frac{65}{4}}{2}$$

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

$$x=\frac{\frac{65}{4}}{2}$$

Whakawehe \frac{65}{4} ki te 2.

$$x=\frac{65}{8}$$