Whakaoti i te y^2-2d-1=0

$$y ^ { 2 } - 2 d - 1 = 0$$

Whakaoti mō d

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te y^{2} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-2d-1=-y^{2}$$

Me tāpiri te 1 ki ngā taha e rua.

$$-2d=-y^{2}+1$$

He hanga arowhānui tō te whārite.

$$-2d=1-y^{2}$$

Whakawehea ngā taha e rua ki te -2.

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

Mā te whakawehe ki te -2 ka wetekia te whakareanga ki te -2.

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

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

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

Whakaoti mō y (complex solution)

$$y=-\sqrt{2d+1}$$

$$y=\sqrt{2d+1}$$

Whakaoti mō y

$$y=\sqrt{2d+1}$$

$$y=-\sqrt{2d+1}\text{, }d\geq -\frac{1}{2}$$