Whakaoti i te xdx=quadd(2x^2+3)

$$x d x = \quad d ( 2 x ^ { 2 } + 3 )$$

Whakaoti mō d (complex solution)

$$\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{C}\text{, }&x=-\sqrt{3}i\text{ or }x=\sqrt{3}i\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te x ki te x, ka x^{2}.

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

Whakamahia te āhuatanga tohatoha hei whakarea te d ki te 2x^{2}+3.

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

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

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

Pahekotia te x^{2}d me -2dx^{2}, ka -x^{2}d.

$$-x^{2}d=3d$$

Tangohia te 3d mai i ngā taha e rua.

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

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

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

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

$$d=0$$

Whakaoti mō d

$$d=0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te x ki te x, ka x^{2}.

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

Whakamahia te āhuatanga tohatoha hei whakarea te d ki te 2x^{2}+3.

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

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

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

Pahekotia te x^{2}d me -2dx^{2}, ka -x^{2}d.

$$-x^{2}d=3d$$

Tangohia te 3d mai i ngā taha e rua.

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

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

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

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

$$d=0$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}\\x=-\sqrt{3}i\text{; }x=\sqrt{3}i\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&d=0\end{matrix}\right.$$

Whakaoti mō x

$$x\in \mathrm{R}$$

$$d=0$$