-12x2 -x +6 = 0

ax2 bx c = 0

a = -12

b = -1

c = 6

Δ = b2-4ac

Δ = -² - (4 * -12 * 6)

Δ = 1 - (4*-72)

Δ = 1 - (-288)

Δ = 289      Δ > 0

-12x2-x+6=0

x = -b ∓ √Δ 2a

x' = 1 - √289 2*-12 = 1 - 17.0 -24 = -16.0 -24 = 0.666666666667

x" = 1 + √289 2*-12 = 1 + 17.0 -24 = 18.0 -24 = -0.75

x' = 96.0

x" = -108.0

S = {x ∈ R / x' = 96.0, x" = -108.0 }