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

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Presentation on theme: "Topic 5 Modeling with Linear and Quadratic Functions 5.7 The Quadratic Formula and the Discriminant."— Presentation transcript:

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

2 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?

3 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

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

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9 What values of x satisfy a= b= c=

10 What values of x satisfy a= b= c=

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15 Practice Time !!!

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