-12x2 +x +6 = 0
ax2 bx c = 0
a = -12
b = 1
c = 6
Δ = b2-4ac
Δ = ² - (4 * -12 * 6)
Δ = 1 - (4*-72)
Δ = 1 - (-288)
Δ = 289 Δ > 0
-12x2+x+6=0
x = -b ∓ √Δ 2a
x' = -1 - √289 2*-12 = -1 - 17.0 -24 = -18.0 -24 = 0.75
x" = -1 + √289 2*-12 = -1 + 17.0 -24 = 16.0 -24 = -0.666666666667
x' = 108.0
x" = -96.0
S = {x ∈ R / x' = 108.0, x" = -96.0 }