SOLUTION: if a,b,c are three distinct real numbers in geometric progression and a+b+c=xb then prove that x is greater than3 or less than -1

Question 775436: if a,b,c are three distinct real numbers in geometric progression and a+b+c=xb then prove that x is greater than3 or less than -1

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The three numbers are in geometric progression, sp
<--> and
<-->
with = common ratio of the progression.
Since a,b,c are three distinct numbers,
and

If -->

If and ,

and -->

If and ,

and -->

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