-4x2 +23x -19 = 0

ax2 bx c = 0

a = -4

b = 23

c = -19

Δ = b2-4ac

Δ = 23² - (4 * -4 * -19)

Δ = 529 - (4*76)

Δ = 529 - (304)

Δ = 225      Δ > 0

-4x2+23x-19=0

x = -b ∓ √Δ 2a

x' = -23 - √225 2*-4 = -23 - 15.0 -8 = -38.0 -8 = 4.75

x" = -23 + √225 2*-4 = -23 + 15.0 -8 = -8.0 -8 = 1.0

x' = 76.0

x" = 16.0

S = {x ∈ R / x' = 76.0, x" = 16.0 }