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Quadratic Equation Solutions - Using the Discriminant

Evaluate quadratic equations and sketch their graphs based on the number of solutions. Learn how to use the discriminant to determine the number of solutions a quadratic equation will have.

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Quadratic Equation Solutions - Using the Discriminant

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  1. Friday Warm Up! Evaluate for the given values: 3. Sketch the graph for each quadratic No solutions One solution Two solutions

  2. Using the Discriminant I can use the discriminant to determine how many solutions a quadratic equation will have.

  3. Using the Discriminant Quadratic Equations can have two, one, or no solutions. Discriminant: The expression under the radical in the quadratic formula that allows you to determine how many solutions you will have before solving it. Discriminant

  4. Properties of the Discriminant 2 Real Solutions *If the discriminant is a perfect square, the two real solutions are rational. *If the discriminant is not a perfect square, the two real solutions are irrational Discriminant is a positive number 1 Real Solution Discriminant is zero No Real Solutions 2 Imaginary Solutions Discriminant is a negative number

  5. Find the number of solutions of the following. Ex. 1

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