1. The Nature of the Roots
of a Quadratic Equation

2. The value of the expression
b2 – 4ac is called the
discriminant of the
quadratic equation
ax2 + bx + c = 0.

3. This value can be used to
describe the nature of the
roots of a quadratic equation.
It can be zero, positive and a
perfect square,

4. positive but not perfect
square, or negative.
Example:
1.x2 -4x + 4 = 0 3. x2 + 6x + 3 = 0
2.x2 + 7x + 10 = 0 4. x2 + 2x + 5 = 0