Nature of the Roots


quadratic equations can have no real roots, one (repeated) real root or two different real roots.

the value of the discriminant determines the number and nature of the roots.

Key Skills


  • evaluate the discriminant of a quadratic equation
  • determine the number and nature of the roots using the discriminant
  • determine facts about the roots of a quadratic equation given its equivalent graph



root, quadratic equation, quadratic function, quadratic formula,discriminantfunction
real numbersnegative numbers, positive numbers