Category Archives: Algebra

Expression: (x+y+z)(x^5+y^5+z^5) – (x^3+y^3+z^3)^2

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Equation : (x + m)^3 = n*x

    Consider,        ……….   (1) where     and     are positive integers, and the equation (1) has exactly three distinct integer solutions in   .   Let’s take, for example,   possible solutions:   , … Continue reading

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Quartic Equation and Cubic Equation Puzzle

    Quartic Equation http://mathworld.wolfram.com/QuarticEquation.html Cubic Formula http://mathworld.wolfram.com/CubicFormula.html   To prove that we can solve a particular cubic if we can solve a particular quartic. For example, If     are roots of a quartic equation,   then     … Continue reading

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