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- 1. Module 9 Topics 9.4, 9.5, and 9.6 <ul><li>Solving radical equations. </li></ul><ul><li>To solve an equation of this type first isolate the radical on one side and then square both sides to eliminate the radical. </li></ul>
- 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. Solve radical equations by graphing <ul><li>To solve by graphing type each side of the equation into y1 and y2. </li></ul><ul><li>Example : </li></ul>Now have the calculator find the intersection Of the two equations. Type the equation just As you see them above.
- 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. Transformations of radical equations. <ul><li>Define domain and range. </li></ul>Graph the following equations and state their domain and range.
- 10. Solutions <ul><li>Domain all real numbers greater than or equal to </li></ul><ul><li>Zero, Range all real numbers greater than or equal </li></ul><ul><li>to zero. </li></ul><ul><li>Domain all real numbers greater than or equal to </li></ul><ul><li>-2, Range all real numbers greater than or equal to </li></ul><ul><li>0. </li></ul><ul><li>Doman all real numbers greater than or equal to </li></ul><ul><li>-2, Range all real numbers greater than or equal to </li></ul><ul><li>-3. </li></ul>
- 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. Review all of Module 9 <ul><li>Simplifying Radicals </li></ul><ul><li>Adding/Subtracting/Multiplying/Dividing Radicals </li></ul><ul><li>Solving radical equations </li></ul><ul><li>Graphing radical equations </li></ul><ul><li>State domain and range of radical equations </li></ul><ul><li>Application problems with radicals </li></ul>

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