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Module 9.4.9.5,9.6
 

Module 9.4.9.5,9.6

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    Module 9.4.9.5,9.6 Module 9.4.9.5,9.6 Presentation Transcript

    • Module 9 Topics 9.4, 9.5, and 9.6
      • Solving radical equations.
      • To solve an equation of this type first isolate the radical on one side and then square both sides to eliminate the radical.
    • 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
      • To solve by graphing type each side of the equation into y1 and y2.
      • Example :
      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.
      • Define domain and range.
      Graph the following equations and state their domain and range.
    • Solutions
      • Domain all real numbers greater than or equal to
      • Zero, Range all real numbers greater than or equal
      • to zero.
      • Domain all real numbers greater than or equal to
      • -2, Range all real numbers greater than or equal to
      • 0.
      • Doman all real numbers greater than or equal to
      • -2, Range all real numbers greater than or equal to
      • -3.
    • 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
      • Simplifying Radicals
      • Adding/Subtracting/Multiplying/Dividing Radicals
      • Solving radical equations
      • Graphing radical equations
      • State domain and range of radical equations
      • Application problems with radicals