To solve the equation \( x^2 = 10^{10} \) using inspection, we can take the square root of both sides:
\[ x = \pm\sqrt{10^{10}} \]
Calculating the square root, we have:
\[ \sqrt{10^{10}} = 10^{10/2} = 10^5 \]
Therefore, the solutions are:
\[ x = 10^5 \quad \text{or} \quad x = -10^5 \]
Thus, the solution set is:
\[ { 10^5, -10^5 } \]
If you have specific options to choose from, please provide them, and I can help identify the correct one!