2.5   Solving Equations Reducible to Quadratic Form: Worked Examples

Example 1.    Solve           

Use substitution, letting : 

Solve for u:                                           

Use substitution, letting , and solve for  :

Check in the original equation:

Example 2.    Solve           

Use substitution, letting :  

Solve for u:      

Use substitution, letting , and solve for  : 

Check in the original equation:

Example 3.    Solve           

                                              where    

                                   where    

Example 4.    Solve           

                                              where    

Example 5.    Solve           

                                              where    

                                  where    

Example 6.    Solve           

                                              where    

                                where    

Example 7.    Solve           

                                              where    

                                   where    

Example 8.    Solve           

                                                  where    

Example 9.    Solve           

                                           where    

Example 10.  Solve        

                                                  where    

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