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Presentation transcript:

Evaluate 𝑏 2 −4𝑎𝑐 for the given values: Friday Warm Up! Evaluate 𝑏 2 −4𝑎𝑐 for the given values: 3. Sketch the graph for each quadratic No solutions One solution Two solutions

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

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

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

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