The Nature Of The Roots Of Quadratic Equation Discriminant

• Discriminant

  b^2 - 4ac
• Evaluating the expression b^2 - 4ac

  1. Substitute the values of a, b, and c

  2. Simplify the expression
• Nature of roots of quadratic equation

  • If discriminant = 0, roots are real and equal
  • If discriminant > 0 and is a perfect square, roots are rational and not equal
  • If discriminant > 0 and not a perfect square, roots are irrational and not equal
  • If discriminant < 0, no real roots
• Quadratic equations

  • x^2 - 4x + 4 = 0
  • x^2 + 7x + 10 = 0
  • x^2 + 6x + 3 = 0
  • x^2 + 2x + 5 = 0
• Using quadratic formula to find roots


  1. Substitute values of a, b, and c

  2. Simplify the expression
• Negative numbers multiplied by themselves are always positive