To solve the equation \( x^2 = 36 \) by inspection, we think of numbers whose square is 36.
The two real solutions are:
- The positive solution: \( x = 6 \) (since \( 6^2 = 36 \))
- The negative solution: \( x = -6 \) (since \( (-6)^2 = 36 \))
Thus, the solutions are \( -6 \) and \( 6 \).
Entering the lesser number first, we have:
\[ -6, 6 \]