Extraneous solutions for real life problems


Assignment:

The answer was finding the length and width of a rectangle. The results were x= 3 and x= -4. Neither the length or width can be a negative number. However, 3 did work in the original equation."

You are correct that in a real world physical problem like you cited the answer cannot be negative.

But is the negative answer "extraneous" according to the mathematical definition? Please explain in 2 paragraphs.

The above question must be answered. The question originated from the question below which was already answered: What are extraneous solutions of an equation? Why do they sometimes occur in the process of solving rational or radical equations?

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Extraneous solutions for real life problems
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