-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 = -46.0 -24 = 1.91666666667

x" = -11 + √1225 2*-12 = -11 + 35.0 -24 = 24.0 -24 = -1.0

x' = 276.0

x" = -144.0

S = {x ∈ R / x' = 276.0, x" = -144.0 }