-4x2 -16x -12 = 0

ax2 bx c = 0

a = -4

b = -16

c = -12

Δ = b2-4ac

Δ = -16² - (4 * -4 * -12)

Δ = 256 - (4*48)

Δ = 256 - (192)

Δ = 64      Δ > 0

-4x2-16x-12=0

x = -b ∓ √Δ 2a

x' = 16 - √64 2*-4 = 16 - 8.0 -8 = 8.0 -8 = -1.0

x" = 16 + √64 2*-4 = 16 + 8.0 -8 = 24.0 -8 = -3.0

x' = -16.0

x" = -48.0

S = {x ∈ R / x' = -16.0, x" = -48.0 }