Whakaoti i te 7-2/3sqrt{1-x}=3

$$7 - \frac { 2 } { 3 } \sqrt { 1 - x } = 3$$

Whakaoti mō x

$$x=-35$$

Ngā Upane mō te Whakaoti Whārite Pūtake

Me tango 7 mai i ngā taha e rua o te whārite.

$$-\frac{2}{3}\sqrt{-x+1}+7-7=3-7$$

Mā te tango i te 7 i a ia ake anō ka toe ko te 0.

$$-\frac{2}{3}\sqrt{-x+1}=3-7$$

Tango 7 mai i 3.

$$-\frac{2}{3}\sqrt{-x+1}=-4$$

Whakawehea ngā taha e rua o te whārite ki te -\frac{2}{3}, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{-\frac{2}{3}\sqrt{-x+1}}{-\frac{2}{3}}=-\frac{4}{-\frac{2}{3}}$$

Mā te whakawehe ki te -\frac{2}{3} ka wetekia te whakareanga ki te -\frac{2}{3}.

$$\sqrt{-x+1}=-\frac{4}{-\frac{2}{3}}$$

Whakawehe -4 ki te -\frac{2}{3} mā te whakarea -4 ki te tau huripoki o -\frac{2}{3}.

$$\sqrt{-x+1}=6$$

Pūruatia ngā taha e rua o te whārite.

$$-x+1=36$$

Me tango 1 mai i ngā taha e rua o te whārite.

$$-x+1-1=36-1$$

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

$$-x=36-1$$

Tango 1 mai i 36.

$$-x=35$$

Whakawehea ngā taha e rua ki te -1.

$$\frac{-x}{-1}=\frac{35}{-1}$$

Mā te whakawehe ki te -1 ka wetekia te whakareanga ki te -1.

$$x=\frac{35}{-1}$$

Whakawehe 35 ki te -1.

$$x=-35$$