Question

what is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = x2 − 4x 5, and what does it mean about the number of real solutions the equation has?

Answer 1

d = b^2 - 4ac, where a = 1, b = -4, c = 5
d = (-4)^2 - 4 x 1 x 5
d = 16 - 20
d = -4
Since d is negative, this means that there is no real solution to the equation.