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MathNet 2003 — Part 02 Question 142

Math Olympiad Vault · MathNet 2003 — Part 02

Question 142

Find the smallest


a. positive real number

b. positive integer
$t$ for which the equation $(x^2 + y^2)^2 + 2t x (x^2 + y^2) = t^2 y^2$ has a solution in positive real numbers.