Whakaoti i te 29.3=sqrt{33.2(33.2-y)}

$$29.3= \sqrt{ 33.2(33.2-y) }$$

Whakaoti mō y

$$y = \frac{4875}{664} = 7\frac{227}{664} \approx 7.34186747$$

Ngā Upane mō te Whakaoti Whārite Pūtake

Whakamahia te āhuatanga tohatoha hei whakarea te 33.2 ki te 33.2-y.

$$29.3=\sqrt{1102.24-33.2y}$$

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

$$\sqrt{1102.24-33.2y}=29.3$$

Pūruatia ngā taha e rua o te whārite.

$$-33.2y+1102.24=858.49$$

Me tango 1102.24 mai i ngā taha e rua o te whārite.

$$-33.2y+1102.24-1102.24=858.49-1102.24$$

Mā te tango i te 1102.24 i a ia ake anō ka toe ko te 0.

$$-33.2y=858.49-1102.24$$

Tango 1102.24 mai i 858.49 mā te kimi i te tauraro pātahi me te tango i ngā taurunga, ka whakaiti i te hautanga ki ngā kīanga tau iti rawa e taea ana.

$$-33.2y=-243.75$$

Whakawehea ngā taha e rua o te whārite ki te -33.2, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{-33.2y}{-33.2}=-\frac{243.75}{-33.2}$$

Mā te whakawehe ki te -33.2 ka wetekia te whakareanga ki te -33.2.

$$y=-\frac{243.75}{-33.2}$$

Whakawehe -243.75 ki te -33.2 mā te whakarea -243.75 ki te tau huripoki o -33.2.

$$y=\frac{4875}{664}$$