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Solving Quadratic Equations Using the Quadratic Formula and Simplifying Radicals

This guide provides a comprehensive walkthrough on solving quadratic equations using the Quadratic Formula. It emphasizes simplifying answers in their simplest radical form. Several examples are included, detailing how to solve equations like (x^2 + 6x + 3 = 0), (2x^2 + x - 5 = 0), and more. Each example instructs on finding the roots and simplifying the results thoroughly. Perfect for students looking to master the quadratic formula and its applications in solving polynomial equations.

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Solving Quadratic Equations Using the Quadratic Formula and Simplifying Radicals

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  1. Using the Quadratic Formula Simplifying Radicals

  2. Quadratic Formula • Reminder:

  3. Example 1 • Solve – Leave answers in simplest radical form x2 + 6x + 3=0

  4. Example 2 Solve – Leave answers in simplest radical form. 2x2 + x – 5 = 0

  5. Example 3 • Solve – Leave answers in simplest radical form. 3x2 = -x + 5

  6. Example 4 • Solve – Leave answers in simplest radical form. 2x2 - 6 = 0

  7. Example 5 Solve – Leave answers in simplest radical form 9 = 2x2 + 3x

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