Find the discriminant of x^2−x+6=0. How many solutions is that?

Answer 1

discriminant of ax^2 + bx + c = b^2 - 4ac

if positive, two real solutions

if zero, one solution

if negative, two complex solutions

for x^2 - x + 6

a = 1, b = -1, c = 6

b^2 - 4ac = 1 - 4(1)(6) = -23

two complex solutions