Assuming an equation with one side as a squared variable expression and the other side as a numeric expression, which of the following statements is correct?

To analyze the situation where we have a squared variable expression set equal to a numeric expression, let's assume the equation is of the form \( x^2 = k \), where \( k \) is a numeric expression.

Now, considering the case when \( k = 0 \):

The equation becomes: \[ x^2 = 0 \]

Taking the square root of both sides gives: \[ x = 0 \]

Thus, when the numeric expression is zero, there is exactly one solution (i.e., \( x = 0 \)).

Based on this analysis:

• Statement #1: Incorrect (there are not two solutions).
• Statement #2: Correct (there is one solution).
• Statement #3: Incorrect (there is indeed one solution).

Therefore, the correct statement is:

Statement #2 is correct.