Exploring Divide By Y And This Quartic Becomes A Quadratic In One Step Math Olympiad

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  • Palindromic
  • Algebraic substitution, bracket expansion,
  • Strategic pairing, algebraic substitution,
  • Olympiad Prep with Quick
  • Reciprocal substitution, cubic factoring,

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Radical substitution, AM-GM constraint, 2x³-3x²-x=(3x-2)/x → Find all real x Multiply both sides by x. 2x⁴-3x³-x²-3x+2=0. Polynomial division, radical substitution, x⁴+3x³+6x+4=0 → Find all four values of x Let

Smart observation, nested radicals,

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