13

Part of 2012 India PRMO

Problems(1)

2012 preRMO p13, α=b-c, b=c-d, c=d-a and abcd\ne 0

Source:

a=b-c, b=c-d, c=d-a

abcd\ne 0

, then what is the value of

\frac{a}{b}+\frac{b}{c}+\frac{c}{d}+\frac{d}{a}