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Module 9  Topics 9.4, 9.5, and 9.6 ,[object Object],[object Object]
To solve the radical equation following the steps as listed in the previous slide.  Be sure when to complete every side on both sides.
Lets try several more examples just to be sure you understand the multiple steps involved in solving these types of equations. Step # 1
Some times the radicals are not square roots but cubed roots.  Here is an example.
Here are a few for you to try.  Remember to check by plugging the number you get as a result back into the equation to see if it works.
Here are the solutions.
Solve radical equations by graphing ,[object Object],[object Object],Now have the calculator find the intersection Of the two equations. Type the equation just As you see them above.
Continuing with the solution to the radical equation . So the solution for x would be 10.  Check it to make sure it works in the original equation.
Transformations of radical equations. ,[object Object],Graph the following equations and state their domain and range.
Solutions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
General form of a radical equation What affect does a have on the graph is it is positive or negative? What affect does increasing h or decreasing  h have on the equation? How does +k and –k affect the graph?  Try graphing  a few to come up with the answers.  Use your graphing calculators.
Review all of Module 9  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Module 9.4.9.5,9.6

  • 1.
  • 2. To solve the radical equation following the steps as listed in the previous slide. Be sure when to complete every side on both sides.
  • 3. Lets try several more examples just to be sure you understand the multiple steps involved in solving these types of equations. Step # 1
  • 4. Some times the radicals are not square roots but cubed roots. Here is an example.
  • 5. Here are a few for you to try. Remember to check by plugging the number you get as a result back into the equation to see if it works.
  • 6. Here are the solutions.
  • 7.
  • 8. Continuing with the solution to the radical equation . So the solution for x would be 10. Check it to make sure it works in the original equation.
  • 9.
  • 10.
  • 11. General form of a radical equation What affect does a have on the graph is it is positive or negative? What affect does increasing h or decreasing h have on the equation? How does +k and –k affect the graph? Try graphing a few to come up with the answers. Use your graphing calculators.
  • 12.