Whakaoti i te d/dx^2=3

$$\frac { d } { d x ^ { 2 } } = 3$$

Whakaoti mō d (complex solution)

$$d\neq 0$$

$$x=-\frac{\sqrt{3}}{3}\text{ or }x=\frac{\sqrt{3}}{3}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe d ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te dx^{2}.

$$d=3dx^{2}$$

Tangohia te 3dx^{2} mai i ngā taha e rua.

$$d-3dx^{2}=0$$

Pahekotia ngā kīanga tau katoa e whai ana i te d.

$$\left(1-3x^{2}\right)d=0$$

Whakawehe 0 ki te -3x^{2}+1.

$$d=0$$

Tē taea kia ōrite te tāupe d ki 0.

$$d\in \emptyset$$

Whakaoti mō d

$$d\neq 0$$

$$x = \frac{\sqrt{3}}{3} = 0.5773502691896257$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe d ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te dx^{2}.

$$d=3dx^{2}$$

Tangohia te 3dx^{2} mai i ngā taha e rua.

$$d-3dx^{2}=0$$

Pahekotia ngā kīanga tau katoa e whai ana i te d.

$$\left(1-3x^{2}\right)d=0$$

Whakawehe 0 ki te -3x^{2}+1.

$$d=0$$

Tē taea kia ōrite te tāupe d ki 0.

$$d\in \emptyset$$

Whakaoti mō x (complex solution)

$$x = -\frac{\sqrt{3}}{3} = -0.5773502691896257$$

$$x=\frac{\sqrt{3}}{3}\text{, }d\neq 0$$

Whakaoti mō x

$$x = \frac{\sqrt{3}}{3} = 0.5773502691896257$$

$$x=-\frac{\sqrt{3}}{3}\text{, }d\neq 0$$