How do you find the value of the discriminant and determine the nature of the roots #-2x^2-x-1=0#?
-7, no real roots
The discriminant is found using the equation
a = -2 b = -1 c = -1
the discriminant will equal:
#(-1)^2 - 4 (-2) (-1) = -7
If the value of the discriminant is smaller than 0, then it has no real roots. If it's equal to 0, it has 1 real root, and if it's bigger than 0, it has 2 real roots.