Whakaoti i te (y-2)^2=3-x

$$( y - 2 ) ^ { 2 } = 3 - x$$

Whakaoti mō x

$$x=-\left(y-2\right)^{2}+3$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(y-2\right)^{2}.

$$y^{2}-4y+4=3-x$$

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

$$3-x=y^{2}-4y+4$$

Tangohia te 3 mai i ngā taha e rua.

$$-x=y^{2}-4y+4-3$$

Tangohia te 3 i te 4, ka 1.

$$-x=y^{2}-4y+1$$

Whakawehea ngā taha e rua ki te -1.

$$\frac{-x}{-1}=\frac{y^{2}-4y+1}{-1}$$

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

$$x=\frac{y^{2}-4y+1}{-1}$$

Whakawehe y^{2}-4y+1 ki te -1.

$$x=-\left(y^{2}-4y+1\right)$$

Whakaoti mō y (complex solution)

$$y=-\sqrt{3-x}+2$$

$$y=\sqrt{3-x}+2$$

Whakaoti mō y

$$y=-\sqrt{3-x}+2$$

$$y=\sqrt{3-x}+2\text{, }x\leq 3$$