-12x2 -6x +6 = 0

ax2 bx c = 0

a = -12

b = -6

c = 6

Δ = b2-4ac

Δ = -6² - (4 * -12 * 6)

Δ = 36 - (4*-72)

Δ = 36 - (-288)

Δ = 324      Δ > 0

-12x2-6x+6=0

x = -b ∓ √Δ 2a

x' = 6 - √324 2*-12 = 6 - 18.0 -24 = -12.0 -24 = 0.5

x" = 6 + √324 2*-12 = 6 + 18.0 -24 = 24.0 -24 = -1.0

x' = 72.0

x" = -144.0

S = {x ∈ R / x' = 72.0, x" = -144.0 }