Datrys fm^2-14m-15=0

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

Datrys ar gyfer f

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

$$m\neq 0$$

Camau ar gyfer Datrys Hafaliad Llinol

Ychwanegu 14m at y ddwy ochr. Mae adio unrhyw beth at sero yn cyrraedd ei swm ei hun.

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

Ychwanegu 15 at y ddwy ochr.

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

Mae'r hafaliad yn y ffurf safonol.

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

Rhannu’r ddwy ochr â m^{2}.

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

Mae rhannu â m^{2} yn dad-wneud lluosi â m^{2}.

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

Datrys ar gyfer m (complex solution)

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

Datrys ar gyfer m

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