SOLUTION: (1)For a,x>0 prove that at most one term of the G.P (a-x)½,(x)½,(a+x)½ can be rational.

Algebra ->  Sequences-and-series -> SOLUTION: (1)For a,x>0 prove that at most one term of the G.P (a-x)½,(x)½,(a+x)½ can be rational.      Log On


   

Question 895102: (1)For a,x>0 prove that at most one term of the G.P (a-x)½,(x)½,(a+x)½ can be rational.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Not sure if that's always true. If a = x = 1, for example, you have 0, 1, and sqrt(2), and two of those numbers are rational.