Whakaoti i te 70-2x^2/a=5

$$\frac { 70 - 2 x ^ { 2 } } { a } = 5$$

Whakaoti mō a (complex solution)

$$a=-\frac{2x^{2}}{5}+14$$

$$x\neq -\sqrt{35}\text{ and }x\neq \sqrt{35}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe a ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te a.

$$70-2x^{2}=5a$$

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

$$5a=70-2x^{2}$$

Whakawehea ngā taha e rua ki te 5.

$$\frac{5a}{5}=\frac{70-2x^{2}}{5}$$

Mā te whakawehe ki te 5 ka wetekia te whakareanga ki te 5.

$$a=\frac{70-2x^{2}}{5}$$

Whakawehe 70-2x^{2} ki te 5.

$$a=-\frac{2x^{2}}{5}+14$$

Tē taea kia ōrite te tāupe a ki 0.

$$a=-\frac{2x^{2}}{5}+14\text{, }a\neq 0$$

Whakaoti mō a

$$a=-\frac{2x^{2}}{5}+14$$

$$|x|\neq \sqrt{35}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe a ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te a.

$$70-2x^{2}=5a$$

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

$$5a=70-2x^{2}$$

Whakawehea ngā taha e rua ki te 5.

$$\frac{5a}{5}=\frac{70-2x^{2}}{5}$$

Mā te whakawehe ki te 5 ka wetekia te whakareanga ki te 5.

$$a=\frac{70-2x^{2}}{5}$$

Whakawehe 70-2x^{2} ki te 5.

$$a=-\frac{2x^{2}}{5}+14$$

Tē taea kia ōrite te tāupe a ki 0.

$$a=-\frac{2x^{2}}{5}+14\text{, }a\neq 0$$

Whakaoti mō x (complex solution)

$$x=-\frac{\sqrt{140-10a}}{2}$$

$$x=\frac{\sqrt{140-10a}}{2}\text{, }a\neq 0$$

Whakaoti mō x

$$x=\frac{\sqrt{140-10a}}{2}$$

$$x=-\frac{\sqrt{140-10a}}{2}\text{, }a\leq 14\text{ and }a\neq 0$$