Under what situation might one or more

solutions of a rational equation be
unacceptable?

An example would be if they are asking at what time in the future certain condtions are met, and one of the answers turns out to be negative.

i don't understand can you give an example of it turning out to be a negative.

One or more solutions of a rational equation can be considered unacceptable under certain situations. These situations occur when the solutions lead to division by zero or when they make the original equation undefined.

To determine if a solution is unacceptable, follow these steps:

Step 1: Identify any denominators in the rational equation.
Look for any expressions in the equation that appear in the denominator of a fraction. These denominators are the values that need to be checked.

Step 2: Set each denominator equal to zero.
Solve each denominator individually by setting it equal to zero and solving for the variable.

Step 3: Analyze the solutions.
If any of the solutions from Step 2 make one or more denominators equal to zero, they are considered unacceptable. These solutions should be excluded from the set of possible solutions for the equation.

For example, let's consider the rational equation:
(2x + 1) / (x - 2) = 3

Step 1: The denominator is (x - 2).
Step 2: Setting (x - 2) equal to zero, we get x = 2.
Step 3: Since x = 2 makes the denominator zero, it is an unacceptable solution.

Thus, in this specific case, the value x = 2 is considered unacceptable as it leads to division by zero.