解決{l}{{(4m^2-3n^2)}/{(2m^2+5n^2)}=12/19}{o=m/n}{p=o}{q=p}{r=q}{text{Solvefor}stext{where}}{s=r} |Microsoft數學求解器

$$\left. \begin{array} { l } { {(4 m ^ {2} - 3 n ^ {2})} / {(2 m ^ {2} + 5 n ^ {2})} = \frac{12}{19} }\\ { o = m / n }\\ { p = o }\\ { q = p }\\ { r = q }\\ { \text{Solve for } s \text{ where} } \\ { s = r } \end{array} \right.$$

解 m、n、o、p、q、r、s

$$r=\frac{3}{2}=1.5\text{, }s=\frac{3}{2}=1.5\text{, }m=\frac{3n}{2}\text{, }n\neq 0\text{, }o=\frac{3}{2}=1.5\text{, }p=\frac{3}{2}=1.5\text{, }q=\frac{3}{2}=1.5$$

$$r=-\frac{3}{2}=-1.5\text{, }s=-\frac{3}{2}=-1.5\text{, }m=-\frac{3n}{2}\text{, }n\neq 0\text{, }o=-\frac{3}{2}=-1.5\text{, }p=-\frac{3}{2}=-1.5\text{, }q=-\frac{3}{2}=-1.5$$