Question

Solve for the roots in simplest form using the quadratic formula: 4x2 + 4x = -5

Answer 1

Answer:

Step-by-step explanation:

Move all terms to one side

4x^2 + 4x + 5 = 0

Plug into quadratic formula

x = (-4 + $\sqrt{16 - 4(4)(5)}$) / 2(4)

  = (-4 + $\sqrt{-64}$)/8

At this point, there are no real answers. The roots to this equation are complex.

x = (-4 + 8i)/8

  = (-1 + 2i)/2