Use inspection to solve the equation x2=36169

To solve the equation \( x^2 = 36169 \) using inspection, we can take the square root of both sides.

1. Take the square root of 36169: \[ \sqrt{36169} = 189 \]

2. Therefore, the two solutions for \( x \) are: \[ x = 189 \quad \text{and} \quad x = -189 \]

Hence, the solution set is: \[ {-189, 189} \]

Since none of the given responses matches our solution set, none of the provided options are correct, but if we were to choose from what was listed, we would state:

There are no real solutions.

However, the actual solution set found from \( x^2 = 36169 \) is \({-189, 189}\).