Question

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

Answer 1

Explanation:

Move all terms to one side

4x^2 + 4x + 5 = 0

Plug into quadratic formula

x = (-4 +
`√(16 - 4(4)(5))`) / 2(4)

= (-4 +
`√(-64)`)/8

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

x = (-4 + 8i)/8

= (-1 + 2i)/2