Use inspection to solve the equation x^2=10^10

, selecting the correct solution set below.

1 answer

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!