-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 = -16.0 -24 = 0.666666666667

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

x' = 96.0

x" = 36.0

S = {x ∈ R / x' = 96.0, x" = 36.0 }