-1x2 -18x +19 = 0

ax2 bx c = 0

a = -1

b = -18

c = 19

Δ = b2-4ac

Δ = -18² - (4 * -1 * 19)

Δ = 324 - (4*-19)

Δ = 324 - (-76)

Δ = 400      Δ > 0

-x2-18x+19=0

x = -b ∓ √Δ 2a

x' = 18 - √400 2*-1 = 18 - 20.0 -2 = -2.0 -2 = 1.0

x" = 18 + √400 2*-1 = 18 + 20.0 -2 = 38.0 -2 = -19.0

x' = 1.0

x" = -19.0

S = {x ∈ R / x' = 1.0, x" = -19.0 }