-18x2 +19x -1 = 0

ax2 bx c = 0

a = -18

b = 19

c = -1

Δ = b2-4ac

Δ = 19² - (4 * -18 * -1)

Δ = 361 - (4*18)

Δ = 361 - (72)

Δ = 289      Δ > 0

-18x2+19x-1=0

x = -b ∓ √Δ 2a

x' = -19 - √289 2*-18 = -19 - 17.0 -36 = -36.0 -36 = 1.0

x" = -19 + √289 2*-18 = -19 + 17.0 -36 = -2.0 -36 = 0.0555555555556

x' = 324.0

x" = 18.0

S = {x ∈ R / x' = 324.0, x" = 18.0 }