Yes, I agree that Quadratic Equation has two roots. It's justified by its meaning. Quadratic Equation is an equation of the second degree in its variable or variables. As a student also, I remember that you determine the number of roots by its degree. It can be solve by Factoring or using Quadratic formula.
Ex. By factoring
Given: x^2-x-6=0
Solution:
x^2-x-6=0
since, x^2-x-6= (x-3)(x+2)
x^2-x-6=0
(x-3) (x+2)=0
Setting each linear factor to zero, we get
x-3=0
x=3
x+2=0
x=-2
Hence the roots are,
x=3 and x=-2
