- #1
matrixone
- 28
- 2
if ## a,b,c,d,e ## are positive real numbers, minimum value of [tex](a+b+c+d+e)( \frac{1}{a} +\frac{1}{b} +\frac{1}{c} +\frac{1}{d} +\frac{1}{e} )[/tex]
(A) 25
(B) 5
(C) 125
(D) cannot be determined
My approach :
expanding the expression , i get
[tex]5+a( \frac{1}{b} +\frac{1}{c} +\frac{1}{d} +\frac{1}{e} )+ similar.terms.of.b,c,d,e[/tex]
I can't find any ways to make those expressions vanish ...and some hit and trial gives me ans as 25
but i also can't find any way to make them 20 ... :( ..
or is the answer cannot be determined ?
pls help ...i don't have the answer ...
(A) 25
(B) 5
(C) 125
(D) cannot be determined
My approach :
expanding the expression , i get
[tex]5+a( \frac{1}{b} +\frac{1}{c} +\frac{1}{d} +\frac{1}{e} )+ similar.terms.of.b,c,d,e[/tex]
I can't find any ways to make those expressions vanish ...and some hit and trial gives me ans as 25
but i also can't find any way to make them 20 ... :( ..
or is the answer cannot be determined ?
pls help ...i don't have the answer ...