Whakaoti i te 2x^2+6x+9=cx

$$2 x ^ { 2 } + 6 x + 9 = c x$$

Whakaoti mō c

$$c=2x+6+\frac{9}{x}$$

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$cx=2x^{2}+6x+9$$

He hanga arowhānui tō te whārite.

$$xc=2x^{2}+6x+9$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xc}{x}=\frac{2x^{2}+6x+9}{x}$$

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

$$c=\frac{2x^{2}+6x+9}{x}$$

Whakawehe 2x^{2}+6x+9 ki te x.

$$c=2x+6+\frac{9}{x}$$

Whakaoti mō x (complex solution)

$$x=\frac{\sqrt{c^{2}-12c-36}+c-6}{4}$$

$$x=\frac{-\sqrt{c^{2}-12c-36}+c-6}{4}$$

Whakaoti mō x

$$x=\frac{\sqrt{c^{2}-12c-36}+c-6}{4}$$

$$x=\frac{-\sqrt{c^{2}-12c-36}+c-6}{4}\text{, }c\geq 6\sqrt{2}+6\text{ or }c\leq 6-6\sqrt{2}$$