-4x2 -16x -7 = 0

ax2 bx c = 0

a = -4

b = -16

c = -7

Δ = b2-4ac

Δ = -16² - (4 * -4 * -7)

Δ = 256 - (4*28)

Δ = 256 - (112)

Δ = 144      Δ > 0

-4x2-16x-7=0

x = -b ∓ √Δ 2a

x' = 16 - √144 2*-4 = 16 - 12.0 -8 = 4.0 -8 = -0.5

x" = 16 + √144 2*-4 = 16 + 12.0 -8 = 28.0 -8 = -3.5

x' = -8.0

x" = -56.0

S = {x ∈ R / x' = -8.0, x" = -56.0 }