Activity 1: Math in A, B, C?
Fill in the given table by identifying the values of a, b, and c
and finding the discriminant.
Quadratic Equations
h2 + 2h + 3 = 0
p2 – 12p + 36 = 0
2k2 = 5k + 2
x2 = -64
2k2 – 5k = 0
a
b
c
Discriminant
b2 – 4ac
Activity 1: What is My Nature?
Determine the nature of the roots of the following quadratic
equations using the discriminant. Answer the questions that follow.
Quadratic Equation
Discriminant
Nature of the
Roots
x2 + 6x + 9 = 0
x2 + 9x + 20 = 0
2x2 – 10x + 8 = 0
x2 + 5x + 10 = 0
x2 + 6x + 3 = 0
2x2 + 6x + 4 = 0
3x2 – 5x = -4
9x2 – 6x = -9
10x2 – 4x = 8
3x² – 2x – 5 = 0
Questions:
a. How did you determine the nature of the roots of each quadratic
equation?
b. When do you say that the roots of a quadratic equation are real or
not real numbers? rational or irrational numbers? equal or not equal?
c. How does the knowledge of the discriminant help you in
determining the nature of the roots of any quadratic equation?