-6x2 +14x +12 = 0
ax2 bx c = 0
a = -6
b = 14
c = 12
Δ = b2-4ac
Δ = 14² - (4 * -6 * 12)
Δ = 196 - (4*-72)
Δ = 196 - (-288)
Δ = 484 Δ > 0
-6x2+14x+12=0
x = -b ∓ √Δ 2a
x' = -14 - √484 2*-6 = -14 - 22.0 -12 = -36.0 -12 = 3.0
x" = -14 + √484 2*-6 = -14 + 22.0 -12 = 8.0 -12 = -0.666666666667
x' = 108.0
x" = -24.0
S = {x ∈ R / x' = 108.0, x" = -24.0 }