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? Choose ONE

Question

Statement #1: If the numeric expression is zero, there are two solutions.

Statement #2: If the numeric expression is zero, there is one solution.

Statement #3: If the numeric expression is zero, there are no solutions.

Answer 1

The correct statement regarding an equation with a squared variable expression set equal to zero is:

Statement #2: If the numeric expression is zero, there is one solution.

This situation typically arises when you have an equation of the form \( x^2 = 0 \). In this case, the only solution is \( x = 0\), which counts as one unique solution.