$$\frac{x^{2}}{\sqrt{x^{2}-c^{2}}}=\frac{c^{2}}{\sqrt{x^{2}-c^{2}}}+39$$<br/><br/>In the given equation, $c$ is a positive constant. Which of the following is one of the solutions to the given equation?<br/><br/>### $-c$<br/><br/>B. $-c^{2}-39^{2}$<br/><br/>C. $-\sqrt{39^{2}-c^{2}}$<br/><br/>D. $-\sqrt{c^{2}+39^{2}}$