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?(1 point)

Question

Responses

If the numeric expression is zero, there are two solutions.

If the numeric expression is zero, there are two solutions.

If the numeric expression is zero, there are no solutions.
If the numeric expression is zero, there are no solutions.

If the numeric expression is zero, there is one solution

Answer 1

The correct statement is:

If the numeric expression is zero, there is one solution.

When you have an equation that sets a squared expression equal to zero (e.g., \( x^2 = 0 \)), it implies that the only solution is when the variable itself is zero (e.g., \( x = 0 \)). Therefore, there is one solution in this case.