Datrys l/r=1+ecosθ

$$\frac { l } { r } = 1 + e \cos \theta$$

Datrys ar gyfer l

$$l=r\left(e\cos(\theta )+1\right)$$

$$r\neq 0$$

Camau ar gyfer Datrys Hafaliad Llinol

Mae'r hafaliad yn y ffurf safonol.

$$\frac{1}{r}l=e\cos(\theta )+1$$

Rhannu’r ddwy ochr â r^{-1}.

$$\frac{\frac{1}{r}lr}{1}=\frac{\left(e\cos(\theta )+1\right)r}{1}$$

Mae rhannu â r^{-1} yn dad-wneud lluosi â r^{-1}.

$$l=\frac{\left(e\cos(\theta )+1\right)r}{1}$$

Rhannwch 1+e\cos(\theta ) â r^{-1}.

$$l=r\left(e\cos(\theta )+1\right)$$

Datrys ar gyfer r

$$\left\{\begin{matrix}r=\frac{l}{e\cos(\theta )+1}\text{, }&l\neq 0\text{ and }\nexists n_{2}\in \mathrm{Z}\text{ : }\theta =2\pi n_{2}+\arccos(\frac{1}{e})+\pi \text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =2\pi n_{1}-\arccos(\frac{1}{e})+\pi \\r\neq 0\text{, }&\left(\exists n_{4}\in \mathrm{Z}\text{ : }\theta =2\pi n_{4}+\arccos(\frac{1}{e})+\pi \text{ or }\exists n_{3}\in \mathrm{Z}\text{ : }\theta =2\pi n_{3}-\arccos(\frac{1}{e})+\pi \right)\text{ and }l=0\end{matrix}\right.$$

Camau ar gyfer Datrys Hafaliad Llinol

All y newidyn r ddim fod yn hafal i 0 gan nad ydy rhannu â sero wedi’i ddiffinio. Lluoswch ddwy ochr yr hafaliad â r.

$$l=r+e\cos(\theta )r$$

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$r+e\cos(\theta )r=l$$

Cyfuno pob term sy'n cynnwys r.

$$\left(1+e\cos(\theta )\right)r=l$$

Mae'r hafaliad yn y ffurf safonol.

$$\left(e\cos(\theta )+1\right)r=l$$

Rhannu’r ddwy ochr â 1+e\cos(\theta ).

$$\frac{\left(e\cos(\theta )+1\right)r}{e\cos(\theta )+1}=\frac{l}{e\cos(\theta )+1}$$

Mae rhannu â 1+e\cos(\theta ) yn dad-wneud lluosi â 1+e\cos(\theta ).

$$r=\frac{l}{e\cos(\theta )+1}$$

All y newidyn r ddim fod yn hafal i 0.

$$r=\frac{l}{e\cos(\theta )+1}\text{, }r\neq 0$$