-12x2 +23x -11 = 0
ax2 bx c = 0
a = -12
b = 23
c = -11
Δ = b2-4ac
Δ = 23² - (4 * -12 * -11)
Δ = 529 - (4*132)
Δ = 529 - (528)
Δ = 1 Δ > 0
-12x2+23x-11=0
x = -b ∓ √Δ 2a
x' = -23 - √1 2*-12 = -23 - 1.0 -24 = -24.0 -24 = 1.0
x" = -23 + √1 2*-12 = -23 + 1.0 -24 = -22.0 -24 = 0.916666666667
x' = 144.0
x" = 132.0
S = {x ∈ R / x' = 144.0, x" = 132.0 }