MathDB

system x = a - y^2m y = a - x^2

Source: 1976 Swedish Mathematical Competition p2

March 26, 2021

algebrasystem of equationsSystem

Problem Statement

For which real

a

are there distinct reals

x

y

such that

\begin{cases} x = a - y^2 \\ y = a - x^2 \,\,\, ? \end {cases}