-6x2 +17x -11 = 0

ax2 bx c = 0

a = -6

b = 17

c = -11

Δ = b2-4ac

Δ = 17² - (4 * -6 * -11)

Δ = 289 - (4*66)

Δ = 289 - (264)

Δ = 25      Δ > 0

-6x2+17x-11=0

x = -b ∓ √Δ 2a

x' = -17 - √25 2*-6 = -17 - 5.0 -12 = -22.0 -12 = 1.83333333333

x" = -17 + √25 2*-6 = -17 + 5.0 -12 = -12.0 -12 = 1.0

x' = 66.0

x" = 36.0

S = {x ∈ R / x' = 66.0, x" = 36.0 }