Whakaoti i te y^2-1/2x=1

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

Whakaoti mō x

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te y^{2} mai i ngā taha e rua.

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

Me whakarea ngā taha e rua ki te -2.

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

Mā te whakawehe ki te -\frac{1}{2} ka wetekia te whakareanga ki te -\frac{1}{2}.

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

Whakawehe -y^{2}+1 ki te -\frac{1}{2} mā te whakarea -y^{2}+1 ki te tau huripoki o -\frac{1}{2}.

$$x=2y^{2}-2$$

Whakaoti mō y (complex solution)

$$y=-\frac{\sqrt{2\left(x+2\right)}}{2}$$

$$y=\frac{\sqrt{2\left(x+2\right)}}{2}$$

Whakaoti mō y

$$y=\frac{\sqrt{2\left(x+2\right)}}{2}$$

$$y=-\frac{\sqrt{2\left(x+2\right)}}{2}\text{, }x\geq -2$$