question for you

Question

how many solutions does this equation have- f(x)= x^2 + 2x +3

Answer 1

A=1 b=2 c=3

b^2 - 4ac = 2^2 - 4(1)(3) = 4 - 12 = -8

it has 2 complex/imaginary solutions

they are -1 +or- i*Sqrt(2)

Answer 2

Evaluate the discriminant:

D = b^2 - 4ac = 2^2 - 4(1)(3) = 4 - 12 = -8 < 0

Since D < 0, there are two complex solutions.