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Solving Quadratic Equations Using Substitution Techniques

This guide explores solving quadratic equations, specifically in the format ax² + bx + c = 0. We will focus on the equation 2x² - 3x - 5 = 0, demonstrating how to apply substitution techniques to find solutions. We'll introduce a substitution method by letting u = y² and u² = y⁴. Step-by-step instructions will be provided on how to effectively use substitution and verify the solutions found. Additionally, homework exercises will be included to reinforce learning.

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Solving Quadratic Equations Using Substitution Techniques

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  1. 7.3 Solving Equations Using Quadratic Techniques Using Substitution to solve Quadratic Equations

  2. Quadratic form ax2 + bx + c = 0 2x2 – 3x – 5 = 0 This also would be a quadratic form of an equation

  3. How would you solve Use Substitution

  4. How would you solve Use Substitution Let u = y2 u2 = y4

  5. How would you solve Use Substitution Let u = y2 u2 = y4

  6. How would you solve Then Use Substitution Let u = y2 u2 = y4

  7. How would you solve Then Use Substitution Let Do both answers work?

  8. How would you solve Then Use Substitution Let Do both answers work?

  9. How would you solve Then Use Substitution Let

  10. How would you solve Then Use Substitution Let Do both answers work?

  11. Homework Page 363 #11 – 27 odd

  12. Homework Page 363 #12 – 28 even

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