+0  
 
0
32
1
avatar

Find the smallest possible value of

\(\frac{(y-x)^2}{(y-z)(z-x)} + \frac{(z-y)^2}{(z-x)(x-y)} + \frac{(x-z)^2}{(x-y)(y-z)}\)

where x, y and z are distinct real numbers.

 Feb 2, 2020
 #1
avatar
0

The minimum value is 1.

 Feb 2, 2020

34 Online Users

avatar