-6x2 -19x -8 = 0

ax2 bx c = 0

a = -6

b = -19

c = -8

Δ = b2-4ac

Δ = -19² - (4 * -6 * -8)

Δ = 361 - (4*48)

Δ = 361 - (192)

Δ = 169      Δ > 0

-6x2-19x-8=0

x = -b ∓ √Δ 2a

x' = 19 - √169 2*-6 = 19 - 13.0 -12 = 6.0 -12 = -0.5

x" = 19 + √169 2*-6 = 19 + 13.0 -12 = 32.0 -12 = -2.66666666667

x' = -18.0

x" = -96.0

S = {x ∈ R / x' = -18.0, x" = -96.0 }