MTH220T Phoenix Week 1 The Quadratic Equation
Mathematics
Post a 150-word response to one the discussion prompts by Day 5 in the discussion area below:
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
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
Answer the 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
Answer the 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
Answer the 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
Answer the 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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