Use inspection to solve the equation x^2=36/169

To solve the equation \( x^2 = \frac{36}{169} \) using inspection, we can take the square root of both sides.

First, we rewrite the equation:

\[ x^2 = \frac{36}{169} \]

Taking the square root of both sides, we have:

\[ x = \pm \sqrt{\frac{36}{169}} \]

We can simplify this:

\[ x = \pm \frac{\sqrt{36}}{\sqrt{169}} = \pm \frac{6}{13} \]

Thus, the solutions are:

\[ x = \frac{6}{13} \quad \text{and} \quad x = -\frac{6}{13} \]

Therefore, the correct solution set is:

\[ \left{-\frac{6}{13}, \frac{6}{13}\right} \]

So the correct response is:

{−6/13, 6/13}