Section 8.2 The Quadratic Formula  The Quadratic Formula  Solving Equations Using the QF  Solving an Equivalent Equation  Solving Functions and Rational.

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Presentation transcript:

Section 8.2 The Quadratic Formula  The Quadratic Formula  Solving Equations Using the QF  Solving an Equivalent Equation  Solving Functions and Rational Equations  Problem Solving 8.21

Introducing … The Quadratic Formula!  The Quadratic Formula is used to find solutions to any quadratic equation  The formula was derived using completing the square and the square root property. 8.22

On your next test, Derive the Quadratic Formula ! Move c to the right side Divide all terms by a Using b/a, complete the square Make common denominators Rewrite in squares format Take square root of both sides Remove radicals where possible Move b/2a to the other side Combine fractions 8.23

Practice with the QF – Solve: 8.24

Solving functions 8.25

Imaginary Solutions 8.26

Solving Equivalent Equations  Sometimes we need to simplify first 8.27

What Next? Discriminants!  Present Section 8.3Section 8.3  Studying QE Solutions 8.28