3.4 – The Quadratic Formula

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Presentation transcript:

3.4 – The Quadratic Formula

Deriving The Formula Quadratic equation standard form Subtract c from both sides Divide both sides by a Complete the square Simplify Square root both sides Subtract from both sides Simplify

Example 1

Example 2

Example 3

The Discriminant Two imaginary solutions One real solution Two real solutions

Example 4 Because the discriminant is greater than zero, the equation has two real solutions.

Example 5 If the discriminant is 0, there’s one real solution.

Example 6 The ball is in the air for 1.385 seconds.