解決{l}{A=256m^3}{a=Am}{b=a}{c=b}{text{Solvefor}dtext{where}}{d=c} |Microsoft數學求解器

$$\left. \begin{array} { l } { A = 256 m ^ {3} }\\ { a = A m }\\ { b = a }\\ { c = b }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

解 A、m、a、b、c、d (復數求解)

$$A=4d^{\frac{3}{4}}\text{, }m=\frac{\sqrt[4]{d}}{4}\text{, }a=d\text{, }b=d\text{, }c=d\text{, }d\in \mathrm{C}$$

$$A=-4id^{\frac{3}{4}}\text{, }m=\frac{i\sqrt[4]{d}}{4}\text{, }a=d\text{, }b=d\text{, }c=d\text{, }d\in \mathrm{C}$$

$$A=-4d^{\frac{3}{4}}\text{, }m=-\frac{\sqrt[4]{d}}{4}\text{, }a=d\text{, }b=d\text{, }c=d\text{, }d\in \mathrm{C}$$

$$A=4id^{\frac{3}{4}}\text{, }m=-\frac{i\sqrt[4]{d}}{4}\text{, }a=d\text{, }b=d\text{, }c=d\text{, }d\in \mathrm{C}$$

解 A、m、a、b、c、d

$$A=0\text{, }m=0\text{, }a=0\text{, }b=0\text{, }c=0\text{, }d=0$$

$$A=-4d^{\frac{3}{4}}\text{, }m=-\frac{\sqrt[4]{d}}{4}\text{, }a=d\text{, }b=d\text{, }c=d\text{, }d\geq 0$$

$$A=4d^{\frac{3}{4}}\text{, }m=\frac{\sqrt[4]{d}}{4}\text{, }a=d\text{, }b=d\text{, }c=d\text{, }d\geq 0$$