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How do you know if a quadratic equation will have one, two or no solutions?

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1. How do you know if a quadratic equation will have one, two or no solutions?

2. How do you find a quadratic equation if you are only given the solution?

3. Is it possible to have different quadratic equations with the same solution?

4. Quadratic equations can be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer? Why?

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Methods for solving quadratic equations are discussed. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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