-4x2 +11x -6 = 0
ax2 bx c = 0
a = -4
b = 11
c = -6
Δ = b2-4ac
Δ = 11² - (4 * -4 * -6)
Δ = 121 - (4*24)
Δ = 121 - (96)
Δ = 25 Δ > 0
-4x2+11x-6=0
x = -b ∓ √Δ 2a
x' = -11 - √25 2*-4 = -11 - 5.0 -8 = -16.0 -8 = 2.0
x" = -11 + √25 2*-4 = -11 + 5.0 -8 = -6.0 -8 = 0.75
x' = 32.0
x" = 12.0
S = {x ∈ R / x' = 32.0, x" = 12.0 }