4.8 The Quadratic Formula and the Discriminant

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Presentation transcript:

4.8 The Quadratic Formula and the Discriminant

2 Real Solutions

1 Real Solution

0 Real Solution. 2 Complex Solutions. (Imaginary)

2 Real Solutions

1 Real Solution

0 Real Solution. 2 Complex Solutions. (Imaginary)

2 Real Solutions 1 Real Solution 0 Real Solutions; 2 complex solutions is called the Discriminant.

The Quadratic Formula Starting with any quadratic equation: We could solve it by completing the square and develop a formula that could be used to solve any quadratic equation. Here is the solution to the quadratic equation above: We will call this the Quadratic Formula. Memorize it.

Solve this quadratic equation using the quadratic formula: