Mashaal Masha
$$\frac{x^{2}}{\sqrt{x^{2}-c^{2}}}=\frac{c^{2}}{\sqrt{x^{2}-c^{2}}}+39$$

In the given equation, $c$ is a positive constant. Which of the following is one of the solutions to the given equation?
Difficulty: Hard
A: 

$-c$

B: 

$-c^{2}-39^{2}$

C: 

$-\sqrt{39^{2}-c^{2}}$

D: 

$-\sqrt{c^{2}+39^{2}}$

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