Use the discriminant of x^2+4x-32=0 to describe the roots

The formula for discriminant is:

discriminant = sqrt (b^2 - 4 a c)

Where,

a = 1

b = 4

c = - 32

Therefore:

discriminant = sqrt (4^2 - 4 (1) (-32))

discriminant = sqrt 144

discriminant = 12

Since the discriminant is a positive real integer, then there are 2 unequal roots or 2 distinct real roots.