-12x2 +2x +2 = 0
ax2 bx c = 0
a = -12
b = 2
c = 2
Δ = b2-4ac
Δ = 2² - (4 * -12 * 2)
Δ = 4 - (4*-24)
Δ = 4 - (-96)
Δ = 100 Δ > 0
-12x2+2x+2=0
x = -b ∓ √Δ 2a
x' = -2 - √100 2*-12 = -2 - 10.0 -24 = -12.0 -24 = 0.5
x" = -2 + √100 2*-12 = -2 + 10.0 -24 = 8.0 -24 = -0.333333333333
x' = 72.0
x" = -48.0
S = {x ∈ R / x' = 72.0, x" = -48.0 }