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  • Q1
    Lever: Vieta — sum and product of rootsConcept: Difference and Ratio of the Roots

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    [Q4 · Apr · 2017]
  • Q2
    Lever: Vieta — sum and product of rootsConcept: Cross-Equation and Shared-Ratio Conditions

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    [Q5 · Apr · 2017]
  • Q3
    Lever: Compound angle: sin/cos/tan(A ± B)Concept: Roots, componendo, and conditional compound angles

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    [Q15 · Apr · 2017]
  • Q4
    Lever: Vieta — sum and product of rootsConcept: Roots, coefficients, and progression conditions

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    [Q16 · Apr · 2017]
  • Q5
    Lever: Vieta — sum and product of rootsConcept: Roots, coefficients, and progression conditions

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    [Q17 · Apr · 2017]
  • Q6
    Lever: Vieta — sum and product of rootsConcept: Constructed Symmetric-Coefficient Equations

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    [Q5 · Sep · 2017]
  • Q7
    Lever: Cube roots of unity (1 + ω + ω² = 0, ω³ = 1)Concept: Matrix polynomials and equations

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    [Q8 · Sep · 2017]
  • Q8
    Lever: Vieta — sum and product of rootsConcept: Symmetric Functions & Forming New Equations

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    [Q24 · Sep · 2017]
  • Q9
    Lever: Sine rule + Cosine ruleConcept: Determining the Nature of a Triangle

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    [Q29 · Sep · 2017]
  • Q10
    Lever: Vieta — sum and product of rootsConcept: Self-Referential Root Conditions

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    [Q10 · Sep · 2018]
  • Q11
    Lever: Compound angle: sin/cos/tan(A ± B)Concept: Trig Values as Roots of a Quadratic (Vieta)

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    [Q44 · Sep · 2018]
  • Q12
    Lever: Vieta — sum and product of rootsConcept: Difference and Ratio of the Roots

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    [Q49 · Sep · 2018]
  • Q13
    Lever: Vieta — sum and product of rootsConcept: Vieta's Relations — Sum and Product of Roots

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    [Q14 · Apr · 2019]
  • Q14
    Lever: Compound angle: sin/cos/tan(A ± B)Concept: Trig Values as Roots of a Quadratic (Vieta)

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    [Q46 · Apr · 2019]
  • Q15
    Lever: Vieta — sum and product of rootsConcept: Symmetric Functions & Forming New Equations

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    [Q5 · Sep · 2019]
  • Q16
    Lever: AP three-term: 2b = a + cConcept: The arithmetic mean and symmetric terms

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    [Q15 · Sep · 2019]
  • Q17
    Lever: Cube roots of unity (1 + ω + ω² = 0, ω³ = 1)Concept: Applying ω: powers, expressions, related roots

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    [Q18 · Sep · 2019]
  • Q18
    Lever: Vieta — sum and product of rootsConcept: Symmetric Functions & Forming New Equations

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    [Q105 · Sep · 2019]
  • Q19
    Lever: Compound angle: sin/cos/tan(A ± B)Concept: Trig Values as Roots of a Quadratic (Vieta)

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    [Q43 · Apr · 2020]
  • Q20
    Lever: Vieta — sum and product of rootsConcept: Self-Referential Root Conditions

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    [Q44 · Apr · 2020]
  • Q21
    Lever: Vieta — sum and product of rootsConcept: Structural and Counting Root Problems

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    [Q42 · Apr · 2021]
  • Q22
    Lever: Vieta — sum and product of rootsConcept: Vieta's Relations — Sum and Product of Roots

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    [Q43 · Apr · 2021]
  • Q23
    Lever: Cube roots of unity (1 + ω + ω² = 0, ω³ = 1)Concept: Cube Roots of Unity — the x² + x + 1 Hook

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    [Q113 · Apr · 2021]
  • Q24
    Lever: Vieta — sum and product of rootsConcept: Means of the Roots & Equal-Magnitude Conditions

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    [Q6 · Sep · 2021]
  • Q25
    Lever: Vieta — sum and product of rootsConcept: Vieta's Relations — Sum and Product of Roots

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    [Q8 · Sep · 2021]
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