-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 = -32.0 -12 = 2.66666666667

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

x' = 96.0

x" = 18.0

S = {x ∈ R / x' = 96.0, x" = 18.0 }