From Europe with love

Algebra Level 4

1a4+1+1b4+1+1c4+1+1d4+1=1\large \dfrac{1}{a^4+1}+\dfrac{1}{b^4+1}+\dfrac{1}{c^4+1}+\dfrac{1}{d^4+1}=1

Let a,b,ca,b,c and dd be positive reals satisfying the equation above, find the minimum value of 20abcd20abcd .

×

Problem Loading...

Note Loading...

Set Loading...