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Mastering Quadratic Equations: Techniques and Strategies for Solutions

This guide covers essential techniques for solving quadratic equations, including factoring, extracting roots, graphing, completing the square, and using the quadratic formula. Learn the importance of ensuring a leading coefficient of 1, the necessity of common denominators, and how to handle scenarios where solutions involve square roots of negative numbers. Whether you’re solving equations graphically or analytically, this comprehensive overview will help reinforce your understanding and application of quadratic equations in various forms.

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Mastering Quadratic Equations: Techniques and Strategies for Solutions

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  1. PREREQUISTE SECTIONS P5, P6, P7 and CHAPTER 1 NOTES P5

  2. Solving QUADRATIC EQUATIONS - Factoring, Extracting Roots - Graphing - Completing the Square - Quadratic Formula

  3. Solving ANY Quadratic DON’T FORGET! This number “COMPLETES THE SQUARE” This technique is called “COMPLETING THE SQUARE”

  4. Need L.C to be 1 Divide ALL by 2 DON’T FORGET! This number “COMPLETES THE SQUARE”

  5. Can’t have RADICAL in DENOM! Need COMMON DENOM!

  6. Solving QUADRATIC EQUATIONS - Quadratic Formula

  7. We need the values for a, b and c. So we found the same solution as we did when we graphed… How many numbers does this fraction imply? TWO!

  8. And here’s our problem! There is no real number solution to the square root of a negative number.

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