-3x2 +19x -6 = 0
ax2 bx c = 0
a = -3
b = 19
c = -6
Δ = b2-4ac
Δ = 19² - (4 * -3 * -6)
Δ = 361 - (4*18)
Δ = 361 - (72)
Δ = 289 Δ > 0
-3x2+19x-6=0
x = -b ∓ √Δ 2a
x' = -19 - √289 2*-3 = -19 - 17.0 -6 = -36.0 -6 = 6.0
x" = -19 + √289 2*-3 = -19 + 17.0 -6 = -2.0 -6 = 0.333333333333
x' = 54.0
x" = 3.0
S = {x ∈ R / x' = 54.0, x" = 3.0 }