-6x2 +19x +11 = 0
ax2 bx c = 0
a = -6
b = 19
c = 11
Δ = b2-4ac
Δ = 19² - (4 * -6 * 11)
Δ = 361 - (4*-66)
Δ = 361 - (-264)
Δ = 625 Δ > 0
-6x2+19x+11=0
x = -b ∓ √Δ 2a
x' = -19 - √625 2*-6 = -19 - 25.0 -12 = -44.0 -12 = 3.66666666667
x" = -19 + √625 2*-6 = -19 + 25.0 -12 = 6.0 -12 = -0.5
x' = 132.0
x" = -18.0
S = {x ∈ R / x' = 132.0, x" = -18.0 }