Whakaoti i te 2ax^2-216=0

$$2 a x ^ { 2 } - 216 = 0$$

Whakaoti mō a

$$a=\frac{108}{x^{2}}$$

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me tāpiri te 216 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$2ax^{2}=216$$

He hanga arowhānui tō te whārite.

$$2x^{2}a=216$$

Whakawehea ngā taha e rua ki te 2x^{2}.

$$\frac{2x^{2}a}{2x^{2}}=\frac{216}{2x^{2}}$$

Mā te whakawehe ki te 2x^{2} ka wetekia te whakareanga ki te 2x^{2}.

$$a=\frac{216}{2x^{2}}$$

Whakawehe 216 ki te 2x^{2}.

$$a=\frac{108}{x^{2}}$$

Whakaoti mō x (complex solution)

$$x=-6\sqrt{3}a^{-\frac{1}{2}}$$

$$x=6\sqrt{3}a^{-\frac{1}{2}}\text{, }a\neq 0$$

Whakaoti mō x

$$x=6\sqrt{\frac{3}{a}}$$

$$x=-6\sqrt{\frac{3}{a}}\text{, }a>0$$