-1x2 -20x -19 = 0

ax2 bx c = 0

a = -1

b = -20

c = -19

Δ = b2-4ac

Δ = -20² - (4 * -1 * -19)

Δ = 400 - (4*19)

Δ = 400 - (76)

Δ = 324      Δ > 0

-x2-20x-19=0

x = -b ∓ √Δ 2a

x' = 20 - √324 2*-1 = 20 - 18.0 -2 = 2.0 -2 = -1.0

x" = 20 + √324 2*-1 = 20 + 18.0 -2 = 38.0 -2 = -19.0

x' = -1.0

x" = -19.0

S = {x ∈ R / x' = -1.0, x" = -19.0 }