-1x2 -12x -11 = 0

ax2 bx c = 0

a = -1

b = -12

c = -11

Δ = b2-4ac

Δ = -12² - (4 * -1 * -11)

Δ = 144 - (4*11)

Δ = 144 - (44)

Δ = 100      Δ > 0

-x2-12x-11=0

x = -b ∓ √Δ 2a

x' = 12 - √100 2*-1 = 12 - 10.0 -2 = 2.0 -2 = -1.0

x" = 12 + √100 2*-1 = 12 + 10.0 -2 = 22.0 -2 = -11.0

x' = -1.0

x" = -11.0

S = {x ∈ R / x' = -1.0, x" = -11.0 }