Solve. (Enter your answers as a comma-separated list.) \( 6.5-40,566.5 x^{-2}=0 \) \( x=\square \)

To solve the equation \( 6.5 - 40,566.5 x^{-2} = 0 \), we first isolate \( x^{-2} \): 1. Move \( 40,566.5 x^{-2} \) to the other side: \[ 40,566.5 x^{-2} = 6.5 \] 2. Divide both sides by \( 40,566.5 \): \[ x^{-2} = \frac{6.5}{40,566.5} \] 3. Calculate the right side: \[ x^{-2} \approx 0.00016055 \] 4. Take the reciprocal to find \( x^2 \): \[ x^{2} = \frac{1}{0.00016055} \approx 6232.15 \] 5. Finally, take the square root: \[ x \approx \pm 78.87 \] Thus, the solutions are \( x \approx 78.87, -78.87 \).