-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 = 2.0 -12 = -0.166666666667

x" = 19 + √289 2*-6 = 19 + 17.0 -12 = 36.0 -12 = -3.0

x' = -6.0

x" = -108.0

S = {x ∈ R / x' = -6.0, x" = -108.0 }