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Solve for x: x(x + 1)(x + 2)(x + 3) + 1 - m = 0.

Source: Vietnam MO 1982 P2

March 17, 2011
parameterizationalgebra proposedalgebra

Problem Statement

For a given parameter mm, solve the equation x(x+1)(x+2)(x+3)+1āˆ’m=0.x(x + 1)(x + 2)(x + 3) + 1 - m = 0.