To solve the equation \( x^2 = \frac{36}{169} \) using inspection, we can take the square root of both sides.
Taking the square root gives us:
\[ x = \pm \sqrt{\frac{36}{169}} \]
Now, we can simplify the square root:
\[ \sqrt{\frac{36}{169}} = \frac{\sqrt{36}}{\sqrt{169}} = \frac{6}{13} \]
So, the solutions are:
\[ x = \frac{6}{13} \quad \text{and} \quad x = -\frac{6}{13} \]
Thus, the solution set is:
\[ \left{-\frac{6}{13}, \frac{6}{13}\right} \]
The correct response is:
{−6/13, 6/13}