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the discriminant and solutions to quadratic equation

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1. How many solutions exist for a quadratic equation? How do we determine whether the solutions are real or complex?

2. Translate the following into a quadratic equation, and solve it, showing your work:
The length of a rectangular garden is three tiems its width; if the area of the garden is 75 square meters, what are its dimensions?

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Solution Summary

The solution explains how to determine the number of the solutions to a quadratic equation based on its discriminant.

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A quadratic equation could have one, two, or no solutions.
The number of the solutions for a quadratic equation is determined by its ...

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