Solve {l}{T=2pisqrt{L/K}}{a=L}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { T = 2 \pi \sqrt{\frac{L}{K}} }\\ { a = L }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Solve for T, L, K, a, b (complex solution)

$$b=L$$

Solve for T, L, K, a, b

$$\left\{\begin{matrix}T=2\pi \sqrt{\frac{L}{K}}\text{, }L=0\text{, }K>0\text{, }a=L\text{, }b=L\text{; }T=2\pi \sqrt{\frac{L}{K}}\text{, }L=0\text{, }K<0\text{, }a=L\text{, }b=L\text{, }&K\neq 0\\T=2\pi \sqrt{\frac{L}{K}}\text{, }L\geq 0\text{, }K>0\text{, }a=L\text{, }b=L\text{, }&K>0\\T=2\pi \sqrt{\frac{L}{K}}\text{, }L\leq 0\text{, }K<0\text{, }a=L\text{, }b=L\text{, }&K<0\end{matrix}\right.$$