Question

Construct an Argument Suppose the solution to an equation is x = 0. Explain why it is incorrect to conclude that the equation has no

solution.
The solution x = 0 means that Select Choice
and the equation Select Choice

Answer 1

The solution x = 0 in an equation does not guarantee that there are no other solutions.

Step-by-step explanation:

An equation can have multiple solutions, and in this case, the solution x = 0 means that when we substitute 0 for x in the equation, the equation holds true. However, this does not guarantee that there are no other solutions. There may be other values of x that satisfy the equation.

For example, if the original equation is 2x = 0, the solution x = 0 is valid. But if the equation is x^2 = 0, then there is an additional solution x = 0, besides other possible solutions.

Therefore, concluding that the equation has no solutions based solely on the fact that x = 0 is a mistake. We need to consider the full context of the equation and its possible solutions.

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