-12x2 +11x +1 = 0
ax2 bx c = 0
a = -12
b = 11
c = 1
Δ = b2-4ac
Δ = 11² - (4 * -12 * 1)
Δ = 121 - (4*-12)
Δ = 121 - (-48)
Δ = 169 Δ > 0
-12x2+11x+1=0
x = -b ∓ √Δ 2a
x' = -11 - √169 2*-12 = -11 - 13.0 -24 = -24.0 -24 = 1.0
x" = -11 + √169 2*-12 = -11 + 13.0 -24 = 2.0 -24 = -0.0833333333333
x' = 144.0
x" = -12.0
S = {x ∈ R / x' = 144.0, x" = -12.0 }