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1

Part of 1985 Dutch Mathematical Olympiad

Problems(1)

determine four numbers

Source: Netherlands 1985

6/27/2009
For some p p, the equation x^3 \plus{} px^2 \plus{} 3x \minus{} 10 \equal{} 0 has three real solutions a,b,c a,b,c such that c \minus{} b \equal{} b \minus{} a > 0. Determine a,b,c, a,b,c, and p p.
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