解決(1/alpha+1/beta+1/gamma)^2=1/alpha^2+frac{1}{beta^2}+frac{1}{gamma^2} |Microsoft數學求解器

$$( \frac { 1 } { \alpha } + \frac { 1 } { \beta } + \frac { 1 } { \gamma } ) ^ { 2 } = \frac { 1 } { \alpha ^ { 2 } } + \frac { 1 } { \beta ^ { 2 } } + \frac { 1 } { \gamma ^ { 2 } }$$

解 α (復數求解)

$$\alpha =-\left(\beta +\gamma \right)$$

$$\beta \neq -\gamma \text{ and }\beta \neq 0\text{ and }\gamma \neq 0$$

解 α

$$\alpha =-\left(\beta +\gamma \right)$$

$$\beta \neq -\gamma \text{ and }\gamma \neq 0\text{ and }\beta \neq 0$$

解 β

$$\beta =-\left(\alpha +\gamma \right)$$

$$\alpha \neq -\gamma \text{ and }\alpha \neq 0\text{ and }\gamma \neq 0$$