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Understanding the Quadratic Formula: Solving Equations Made Easy

The Quadratic Formula is a powerful tool for finding solutions to any quadratic equation. This section explores the derivation of the formula using methods like completing the square and the square root property. It offers detailed steps for solving equivalent equations and rational equations, enhancing problem-solving skills. Additionally, you'll practice using the Quadratic Formula and learn about discriminants to determine the nature of solutions. Prepare to tackle quadratic equations confidently on your next test!

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Understanding the Quadratic Formula: Solving Equations Made Easy

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  1. 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 8.2

  2. 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. 8.2

  3. 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 8.2

  4. Practice with the QF – Solve: 8.2

  5. Solving functions 8.2

  6. ImaginarySolutions 8.2

  7. Solving Equivalent Equations • Sometimes we need to simplify first 8.2

  8. What Next? Discriminants! • Present Section 8.3 • Studying QE Solutions 8.2

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