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Quadratic Equation

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How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution? Attachments
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Quadratic

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

You can calculate the discriminant, which is equal to b^2-4ac. If that value is positive, there are two solutions. If it's zero, there is one solution,...
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