-12x2 -11x +23 = 0
ax2 bx c = 0
a = -12
b = -11
c = 23
Δ = b2-4ac
Δ = -11² - (4 * -12 * 23)
Δ = 121 - (4*-276)
Δ = 121 - (-1104)
Δ = 1225 Δ > 0
-12x2-11x+23=0
x = -b ∓ √Δ 2a
x' = 11 - √1225 2*-12 = 11 - 35.0 -24 = -24.0 -24 = 1.0
x" = 11 + √1225 2*-12 = 11 + 35.0 -24 = 46.0 -24 = -1.91666666667
x' = 144.0
x" = -276.0
S = {x ∈ R / x' = 144.0, x" = -276.0 }