11

Part of 1989 IMO Longlists

Problems(1)

y^4 + 4y^2x - 11y^2 + 4xy - 8y + 8x^2 - 40x + 52 = 0

Source: IMO Longlist 1989, Problem 11

Given the equation y^4 \plus{} 4y^2x \minus{} 11y^2 \plus{} 4xy \minus{} 8y \plus{} 8x^2 \minus{} 40x \plus{} 52 \equal{} 0, find all real solutions.

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