MTH220T Phoenix Week 1 The Quadratic Equation

Posta150-wordresponsetoonethe discussion prompts by Day 5 in the discussion area below:

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Prompt 1

View one of the following Week 1 videos:

  • Patrick Just Math Tutorials: Radical Notation and Simplifying Radicals
  • Khan Academy: Adding and Simplifying Radicals
  • Khan Academy: Simplifying Cube Root Expressions
  • Answer the following questions:

  • In the process of simplifying a radical expression, a student has provided you a decimal number as an answer. Is the student’s answer correct? Why or why not? Explain your answer.
  • Prompt 2

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    View one of the following Week 1 videos:

  • Patrick Just Math Tutorials; Radical Notation and Simplifying Radicals
  • Patrick Just Math Tutorials: Radicals: Simplifying Radical Expressions Involving Variables – Ex1
  • Khan Academy: Simplifying Cube Root Expressions Answerthe following questions:

  • What is the difference between radical equations and fractional exponents? How are they alike? Provide an example in your explanation.
  • Prompt 3

    View the following Week 1 video:

  • Distance Formula and Finding the Distance between Two Points – Example 1 by Patrick Just Math Tutorials
  • Answerthe following questions:

  • Is finding the distance between 2 points in the rectangular coordinate system related to the Pythagorean theorem? Why or why not? Provide an example in your answer.
  • Prompt 4

    View the following Week 1 video:

  • Khan Academy: Using the Quadratic Formula: Number of Solutions
  • Answerthe following question:

  • When using the quadratic formula to solve quadratic equations, how do you know how many solutions you should have in the end? Provide an example in your explanation.
  • Prompt 5

    View one the following Week 1 videos:

  • Solving an Equation Involving a Single Radical (Square Root) – Ex 1 by Patrick Just Math Tutorials
  • Solving an Equation Involving a Single Radical (Square Root) – Ex 2 by Patrick Just Math Tutorials
  • Solving an Equation Involving a Single Radical (Square Root) – Ex 3 by Patrick Just Math Tutorials
  • Answerthe following question:

  • Explain the method used to solve an equation containing radical expressions. Why is it necessary to check the solutions for such an equation? Provide an example in your explanation.
  • Note: All Khan Academy content is available for free at

    www.khanacademy.org

    .

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