5.6 The Quadratic Formula and the Discriminant

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5.6 The Quadratic Formula and the Discriminant

Objectives Solve quadratic equations using the quadratic formula. Assignment: 17-73 odd

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: