determine four numbers
Source: Netherlands 1985
June 27, 2009
quadraticsalgebra unsolvedalgebra
Problem Statement
For some , the equation x^3 \plus{} px^2 \plus{} 3x \minus{} 10 \equal{} 0 has three real solutions such that c \minus{} b \equal{} b \minus{} a > 0. Determine and .