Whakaoti i te sqrt{4x+27/3}=11

$$\sqrt{ \frac{ 4x+27 }{ 3 } } =11$$

Whakaoti mō x

$$x=84$$

Ngā Upane mō te Whakaoti Whārite Pūtake

Whakawehea ia wā o 4x+27 ki te 3, kia riro ko \frac{4}{3}x+9.

$$\sqrt{\frac{4}{3}x+9}=11$$

Pūruatia ngā taha e rua o te whārite.

$$\frac{4}{3}x+9=121$$

Me tango 9 mai i ngā taha e rua o te whārite.

$$\frac{4}{3}x+9-9=121-9$$

Mā te tango i te 9 i a ia ake anō ka toe ko te 0.

$$\frac{4}{3}x=121-9$$

Tango 9 mai i 121.

$$\frac{4}{3}x=112$$

Whakawehea ngā taha e rua o te whārite ki te \frac{4}{3}, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{\frac{4}{3}x}{\frac{4}{3}}=\frac{112}{\frac{4}{3}}$$

Mā te whakawehe ki te \frac{4}{3} ka wetekia te whakareanga ki te \frac{4}{3}.

$$x=\frac{112}{\frac{4}{3}}$$

Whakawehe 112 ki te \frac{4}{3} mā te whakarea 112 ki te tau huripoki o \frac{4}{3}.

$$x=84$$