
The given equation express A in function of C and S. To express the equation as S in terms of A and C you need to solve the variable S:
-Divide both sides of the equation into C

- Substract 1 in both sides of the equation:

-Multiply both sides of the equation by -1:

-Take square root of both sides of the equation:
![\begin{gathered} \sqrt[]{(-(A)/(C)+1)}=\sqrt[]{S^2} \\ \\ \sqrt[]{-(A)/(C)+1}=S \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/xbxwtv74mnu1hoi2xygjticngtuekjobo5.png)
Then, the equation that express S in terms of A and C is:
![S=\sqrt[]{-(A)/(C)+1}](https://img.qammunity.org/2023/formulas/mathematics/college/x34kpsxo0eodhi2v40c42wxaxsfqlwzf3w.png)