Verify if the quadratic equation 2x^2-2x-60=0 has integer roots.

To check the nature of the roots of the quadratic, we'll
have to solve the equation. First, we'll divide the equation by
2:

x^2 - x - 30 = 0

We'll
verify if the equation has any roots.

For this reason,
we'll determine the discriminant of the quadratic:

delta =
b^2 - 4ac

a,b,c, are the coefficients of the
equation:

a = 1, b = -1 and c =
-30

delta = 1 + 120

delta =
121

Since delta is positive, the quadratic has 2 different
roots.

Now, we'll apply quadratic formula to determine the
roots of the equation:

x1 = (1 +
sqrt121)/2

x1 = (1+11)/2

x1 =
12/2

x1 = 6

x2 =
(1-11)/2

x2 = -10/2

x2 =
-5

We notice that both roots of the quadratic
are integer and they are: x1 = 6 and x2 = -5.