SOLUTION: IF b and c are positive numbers and 1/b = b/c = c/8 then b+c = ?? (A)4 (B)6 (C)7 (D)8 (E)9 Could you explain the above problem. Thanks

Algebra ->  Equations -> SOLUTION: IF b and c are positive numbers and 1/b = b/c = c/8 then b+c = ?? (A)4 (B)6 (C)7 (D)8 (E)9 Could you explain the above problem. Thanks      Log On


   

Question 339862: IF b and c are positive numbers and 1/b = b/c = c/8 then b+c = ??

(A)4
(B)6
(C)7
(D)8
(E)9

Could you explain the above problem.

Thanks
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Cross-multiply:



Then



Cross-multiply:



Substitute:



Multiply by



Take the cube root:



Substitute:



Hence



and



John

My calculator said it, I believe it, that settles it