Question

determine the nature of the roots: 4x^2-4x+5=0

Answer 1

discriminant

Answer 2

you shouldn't discriminate against he discriminant.

Answer 3

b^2 - 4ac

16 - 80 = negative number

so it has two complex solutions

Answer 4

For that we will use the "discriminant".

it is b^2 - 4ac

a = 4
b = -4
c = 5

b^2 - 4ac
(-4)^2 - 4(4)(5)
16 - 80
-64

since we have a negative answer, this tells us that the roots will be imaginary,