MathDB

JBMO TST Moldova Problem 8

Source:

October 14, 2020

number theory

Problem Statement

Find the pairs of real numbers

(a,b)

such that the biggest of the numbers

x=b^2-\frac{a-1}{2}

and

y=a^2+\frac{b+1}{2}

is less than or equal to

\frac{7}{16}