Saved Bookmarks
| 1. |
If `a,b,c` are three positive real numbers then the minimum value of `(a+3c)/(a+2b+c)+(4b)/(a+b+3c)-(8c)/(a+b+3c)` is `alpha+betasqrt(2)` (where `a,b in Z)`, then `|alpha+beta|` is equal to_____ |
|
Answer» Correct Answer - 5 Let `a+2b+c=x,a+b+2c=y,a+b+3c=z` `a=-x+5y-3z,b=z+x-2, c-z-y` Apply A.M. `ge` G.M. `(a+3c)/(a+2b+c)+(4b)/(a+b+2c)-(8c)/(a+b+3c) ge -17 + 12 sqrt(2)` |
|