Problem 2

 

Find numbers m and n such that .

 

[Problem submitted by Vin Lee, LACC Associate Professor of Mathematics.]

 

 

 

Solution for Problem 2:

 

                       

 

            Equate the non-radical and radical terms to get the following two equations.

                        1)  

2)  

 

            Now solve equation 2) for m in terms of n.

                       

            And substitute this into equation 1).

                       

                       

 , n=6

 n = 2, .