Quadratic Generator

Vieta mode keeps integer roots. Discriminant mode may need the full formula. Answer and steps stay hidden until you ask.

x² + 5x + 6 = 0

x₁ = −2, x₂ = −3
  1. x₁ + x₂ = −5, x₁ · x₂ = 6
  2. Integers that fit: −2 and −3
  3. Check: (−2) + (−3) = −5, (−2)·(−3) = 6

Batch of 5

  1. x² + 5x + 6 = 0
  2. x² − 3x − 10 = 0
  3. 2x² + 7x + 3 = 0
  4. x² − 16 = 0
  5. x² + 4x + 4 = 0