-12x2 -11x -2 = 0

ax2 bx c = 0

a = -12

b = -11

c = -2

Δ = b2-4ac

Δ = -11² - (4 * -12 * -2)

Δ = 121 - (4*24)

Δ = 121 - (96)

Δ = 25      Δ > 0

-12x2-11x-2=0

x = -b ∓ √Δ 2a

x' = 11 - √25 2*-12 = 11 - 5.0 -24 = 6.0 -24 = -0.25

x" = 11 + √25 2*-12 = 11 + 5.0 -24 = 16.0 -24 = -0.666666666667

x' = -36.0

x" = -96.0

S = {x ∈ R / x' = -36.0, x" = -96.0 }