If the roots of ax^{2} + bx + c = 0 are a and b then,
 Sum of the roots (a + b) = b/a = (Coefficient of x / Coefficient of x^{2}).
 Product of the roots (a * b) = c/a = (constant term / coefficient of x^{2}).
Example  I:
Find the sum of the roots of x^{2}  x  20 = 0.
Solution:
Given that x^{2}  x  20 = 0.
Formula for sum of the roots (a + b) = b/a
Here, a = 1 and b = 1
= (1)/1
= 1
Example  II:
Find the product of the roots of x^{2}  x  20 = 0
Solution:
Given that x^{2}  x  20 = 0
Formula for sum of the roots (a * b) = c/a
Here, a = 1 and c = 20
= 20/1
= 20
Directions: Solve the following problems. Also write at least 5 examples of your own.
