Suppose the Formula $s=\frac{1}{2} \mathrm{gt}^{2}+\mathrm{v}_{\mathrm{O}} \mathrm{t}$ Is Solved For $\mathrm{t}$ With the Following Result

Essay

Suppose the formula $s=\frac{1}{2} \mathrm{gt}^{2}+\mathrm{v}_{\mathrm{O}} \mathrm{t}$ is solved for $\mathrm{t}$ with the following result: $\mathrm{t}=\frac{2 \mathrm{~s}}{\mathrm{gt}+2 \mathrm{v}_{\mathrm{O}}}$ . Is this an acceptable solution? Explain.