-6x2 -11x +2 = 0

ax2 bx c = 0

a = -6

b = -11

c = 2

Δ = b2-4ac

Δ = -11² - (4 * -6 * 2)

Δ = 121 - (4*-12)

Δ = 121 - (-48)

Δ = 169      Δ > 0

-6x2-11x+2=0

x = -b ∓ √Δ 2a

x' = 11 - √169 2*-6 = 11 - 13.0 -12 = -2.0 -12 = 0.166666666667

x" = 11 + √169 2*-6 = 11 + 13.0 -12 = 24.0 -12 = -2.0

x' = 6.0

x" = -72.0

S = {x ∈ R / x' = 6.0, x" = -72.0 }