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ASU 477 All Soviet Union MO 1988 min of b/(c + d)+c/(a + b) if b+c>= a + d

Source:

August 8, 2019

minimumalgebrainequalities

Problem Statement

What is the minimal value of

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

for positive real numbers

b

and

c

and non-negative real numbers

a

and

d

such that

b + c\ge a + d