Topic 5 Modeling with Linear and Quadratic Functions 5.7 The Quadratic Formula and the Discriminant.

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Presentation transcript:

Topic 5 Modeling with Linear and Quadratic Functions 5.7 The Quadratic Formula and the Discriminant

Solving Quadratic Equations In the previous class we learn how to solve Quadratic Equations using:  Factoring  Completing the Square (if cannot be factored) But, Can we find a method that solve any Quadratic Equation, independently it can be factored or not?

Deriving The Quadratic Formula Divide both sides by a Complete the square by adding (b/2a) 2 to both sides Factor (left) and find LCD (right) Combine fractions and take the square root of both sides Subtract b/2a and simplify

What is the value of x that satisfy a= b= c=

What values of x satisfy a= b= c=

What values of x satisfy a= b= c=

Practice Time !!!