MathDB
Solve a(1 - b^2) = b(1 - c^2) = c(1 - d^2) = d(1 - a^2) = t

Source: Austrian Mathematical Olympiad 2003, Part 1, P3

June 18, 2011
quadraticsalgebrapolynomialalgebra proposed

Problem Statement

Given a positive real number tt, find the number of real solutions a,b,c,da, b, c, d of the system a(1−b2)=b(1−c2)=c(1−d2)=d(1−a2)=t.a(1 - b^2) = b(1 -c^2) = c(1 -d^2) = d(1 - a^2) = t.
Back to ProblemsView on AoPS