Nature of roots of quadratic equations: The discriminant

Examples
Lessons
  1. Positive Discriminant
    Without solving or graphing, determine the nature of the roots of the quadratic equation: 2x212x+10=02x^2-12x+10=0
  2. Zero Discriminant
    Without solving or graphing, determine the nature of the roots of the quadratic equation: x2+4=4xx^2+4=4x
  3. Negative Discriminant
    Without solving or graphing, determine the nature of the roots of the quadratic equation: x2+x+1=0x^2+x+1=0