-6x2 +22x -12 = 0
ax2 bx c = 0
a = -6
b = 22
c = -12
Δ = b2-4ac
Δ = 22² - (4 * -6 * -12)
Δ = 484 - (4*72)
Δ = 484 - (288)
Δ = 196 Δ > 0
-6x2+22x-12=0
x = -b ∓ √Δ 2a
x' = -22 - √196 2*-6 = -22 - 14.0 -12 = -36.0 -12 = 3.0
x" = -22 + √196 2*-6 = -22 + 14.0 -12 = -8.0 -12 = 0.666666666667
x' = 108.0
x" = 24.0
S = {x ∈ R / x' = 108.0, x" = 24.0 }