-6x2 +19x -3 = 0
ax2 bx c = 0
a = -6
b = 19
c = -3
Δ = b2-4ac
Δ = 19² - (4 * -6 * -3)
Δ = 361 - (4*18)
Δ = 361 - (72)
Δ = 289 Δ > 0
-6x2+19x-3=0
x = -b ∓ √Δ 2a
x' = -19 - √289 2*-6 = -19 - 17.0 -12 = -36.0 -12 = 3.0
x" = -19 + √289 2*-6 = -19 + 17.0 -12 = -2.0 -12 = 0.166666666667
x' = 108.0
x" = 6.0
S = {x ∈ R / x' = 108.0, x" = 6.0 }