-6x2 +11x -5 = 0
ax2 bx c = 0
a = -6
b = 11
c = -5
Δ = b2-4ac
Δ = 11² - (4 * -6 * -5)
Δ = 121 - (4*30)
Δ = 121 - (120)
Δ = 1 Δ > 0
-6x2+11x-5=0
x = -b ∓ √Δ 2a
x' = -11 - √1 2*-6 = -11 - 1.0 -12 = -12.0 -12 = 1.0
x" = -11 + √1 2*-6 = -11 + 1.0 -12 = -10.0 -12 = 0.833333333333
x' = 36.0
x" = 30.0
S = {x ∈ R / x' = 36.0, x" = 30.0 }