Whakaoti i te fm^2-14m-15=0

$$f m ^ { 2 } - 14 m - 15 = 0$$

Whakaoti mō f

$$f=\frac{14m+15}{m^{2}}$$

$$m\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me tāpiri te 14m ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$fm^{2}-15=14m$$

Me tāpiri te 15 ki ngā taha e rua.

$$fm^{2}=14m+15$$

He hanga arowhānui tō te whārite.

$$m^{2}f=14m+15$$

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

$$\frac{m^{2}f}{m^{2}}=\frac{14m+15}{m^{2}}$$

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

$$f=\frac{14m+15}{m^{2}}$$

Whakaoti mō m (complex solution)

$$\left\{\begin{matrix}m=\frac{\sqrt{15f+49}+7}{f}\text{; }m=\frac{-\sqrt{15f+49}+7}{f}\text{, }&f\neq 0\\m=-\frac{15}{14}\text{, }&f=0\end{matrix}\right.$$

Whakaoti mō m

$$\left\{\begin{matrix}m=\frac{\sqrt{15f+49}+7}{f}\text{; }m=\frac{-\sqrt{15f+49}+7}{f}\text{, }&f\neq 0\text{ and }f\geq -\frac{49}{15}\\m=-\frac{15}{14}\text{, }&f=0\end{matrix}\right.$$