Is This Cubic Equation Solvable?

  • Context: High School 
  • Thread starter Thread starter marlon
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Discussion Overview

The discussion revolves around the solvability of the cubic equation x^3 + 3x^2 + 9x + 3 = 0. Participants explore potential solutions, including the use of the cubic formula and the nature of the roots.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant, marlon, inquires about the solvability of the cubic equation and expresses difficulty in finding solutions.
  • Another participant suggests that there do not appear to be any integer solutions, indicating that the cubic formula may be necessary for a non-approximated answer.
  • Subsequent posts reiterate the lack of integer solutions and provide a link to a resource on the cubic formula.
  • A later reply presents specific complex and real roots: -1.312 + 2.5087i, -1.312 - 2.5087i, and -0.374.

Areas of Agreement / Disagreement

Participants generally agree that the equation does not have integer solutions, but there is no consensus on the method of solving it or the interpretation of the roots presented.

Contextual Notes

The discussion does not clarify the assumptions regarding the nature of the roots or the applicability of the cubic formula in this context.

marlon
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Can anyone solve the following equation ?

x^3 + 3x^2 +9x + 3 = 0

I don't find it


regards
marlon
 
Mathematics news on Phys.org
-1.312+2.5087i
-1.312-2.5087i
-0.374

=)
 

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