-6x2 +18x -12 = 0

ax2 bx c = 0

a = -6

b = 18

c = -12

Δ = b2-4ac

Δ = 18² - (4 * -6 * -12)

Δ = 324 - (4*72)

Δ = 324 - (288)

Δ = 36      Δ > 0

-6x2+18x-12=0

x = -b ∓ √Δ 2a

x' = -18 - √36 2*-6 = -18 - 6.0 -12 = -24.0 -12 = 2.0

x" = -18 + √36 2*-6 = -18 + 6.0 -12 = -12.0 -12 = 1.0

x' = 72.0

x" = 36.0

S = {x ∈ R / x' = 72.0, x" = 36.0 }