To solve the equation \( x^2 = 9121 \), you would indeed use the inverse operation of taking the square root. The solutions to this equation are:
\[ x = \sqrt{9121} \quad \text{and} \quad x = -\sqrt{9121} \]
Calculating \( \sqrt{9121} \) gives approximately \( 95.5 \), not 311 as stated in the options.
Hence the correct interpretation is that there would be two solutions for \( x \): \( x \approx 95.5 \) and \( x \approx -95.5 \).
So, the true statement based on the given options is:
"You would use the inverse operation of square root; there would be two solutions for x; x=311 and x = −311."
However, since the values 311 and -311 are incorrect solutions, none of the provided options accurately describe how to solve \( x^2 = 9121 \). The closest valid statement would be indicating the use of square roots resulting in two solutions, though they do not match the numerical values given.