Solve the equation.
-$\frac{x}{x+5}-\frac{5}{x-5}=\frac{x^{2}+25}{x^{2}-25}$

Question

Quizplus · Accepted Answer

The equation simplifies to 0 = 0, which initially suggests that any x could be a solution. However, the original equation has restrictions where x cannot be -5 or 5 due to division by zero in the denominators. Since these are the only values that would make the denominators zero, and they are excluded, the equation is true for all x except -5 and 5. However, since the question asks for specific solutions and these values are not valid due to the restrictions, the correct answer is that there is no specific solution that can be determined from the given equation, hence "No solution".

Solve the Equation xx+5−5x−5=x2+25x2−25\frac{x}{x+5}-\frac{5}{x-5}=\frac{x^{2}+25}{x^{2}-25}x+5x​−x−55​=x2−25x2+25​ A) No Solution B) -5 C) −5,5-5,5−5,5 D) 5

Solve the Equation $\frac{x}{x+5}-\frac{5}{x-5}=\frac{x^{2}+25}{x^{2}-25}$ A) No Solution
B) -5
C) $-5,5$ D) 5