( )x^4 + ( )x^3 + ( )x^2 + ( )x + ( ) = 0
where the gaps are filled in by any arrangement of the numbers 1, -2, 3, 4, -6
always has a rational root.
Cinelli
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( )x^4 + ( )x^3 + ( )x^2 + ( )x + ( ) = 0
cinelli wrote:Show that the quartic equation( )x^4 + ( )x^3 + ( )x^2 + ( )x + ( ) = 0
where the gaps are filled in by any arrangement of the numbers 1, -2, 3, 4, -6
always has a rational root.
Cinelli
UncleEbenezer wrote:... based on the observation that 1 - 2 + 3 + 4 - 6 = 0
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