-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 = -36.0 -2 = 18.0

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

x' = 18.0

x" = 1.0

S = {x ∈ R / x' = 18.0, x" = 1.0 }