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Published byDerek Stevenson Modified over 8 years ago

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Solving Quadratic Equations – The Discriminant The Discriminant is the expression found under the radical symbol in the quadratic formula. Discriminant =

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Three possible solutions of a quadratic equation. Two Different Real Solutions Case I: (discriminant is positive) Example: Discriminant

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One Repeated Real Solution Case II: (discriminant is zero) Example:

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Two Different Imaginary Solutions Case III: (discriminant is negative) Example:

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Two Different Imaginary Solutions Case III: Case I: Two Different Real Solutions Case II: One Repeated Real Solution Summary

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Example 1: Move all terms to left side Determine the type and number of solutions for the quadratic equation. Determine the values of a, b, and c

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Determine the value of the discriminant Two Different Real Solutions

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