When you have an equation where one side is a squared variable expression (like \( x^2 \)) and the other side is a numeric expression, you can analyze the situation when the numeric expression is zero.
Let's represent the equation as \( x^2 = k \), where \( k \) is the numeric expression. If \( k = 0 \), the equation becomes:
\[ x^2 = 0 \]
The solution to this equation is found by taking the square root of both sides:
\[ x = 0 \]
In this case, there is only one solution (specifically, \( x = 0 \)). Therefore:
- Statement #1 is incorrect (there are not two solutions).
- Statement #2 is correct (there is one solution).
- Statement #3 is incorrect (there are solutions; specifically, there is one solution).
Thus, the correct statement is Statement #2: If the numeric expression is zero, there is one solution.