Subject:  Algebra

Solve x² − 5x + 6 ≤ 0

Solve a quadratic inequality using its roots and a sign chart.

Answer [2, 3]

Solution

  1. Inequality 1x² − 5x + 6 ≤ 0
  2. Discriminant Δ = b² − 4ac = 1
  3. Roots x₁ = 2, x₂ = 3
  4. Sign chart The quadratic is positive outside the roots, negative between them.
  5. Solution [2, 3]

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