-1x2 -19x -18 = 0

ax2 bx c = 0

a = -1

b = -19

c = -18

Δ = b2-4ac

Δ = -19² - (4 * -1 * -18)

Δ = 361 - (4*18)

Δ = 361 - (72)

Δ = 289      Δ > 0

-x2-19x-18=0

x = -b ∓ √Δ 2a

x' = 19 - √289 2*-1 = 19 - 17.0 -2 = 2.0 -2 = -1.0

x" = 19 + √289 2*-1 = 19 + 17.0 -2 = 36.0 -2 = -18.0

x' = -1.0

x" = -18.0

S = {x ∈ R / x' = -1.0, x" = -18.0 }