-1x2 -8x -12 = 0

ax2 bx c = 0

a = -1

b = -8

c = -12

Δ = b2-4ac

Δ = -8² - (4 * -1 * -12)

Δ = 64 - (4*12)

Δ = 64 - (48)

Δ = 16      Δ > 0

-x2-8x-12=0

x = -b ∓ √Δ 2a

x' = 8 - √16 2*-1 = 8 - 4.0 -2 = 4.0 -2 = -2.0

x" = 8 + √16 2*-1 = 8 + 4.0 -2 = 12.0 -2 = -6.0

x' = -2.0

x" = -6.0

S = {x ∈ R / x' = -2.0, x" = -6.0 }