-18x2 -11x -1 = 0

ax2 bx c = 0

a = -18

b = -11

c = -1

Δ = b2-4ac

Δ = -11² - (4 * -18 * -1)

Δ = 121 - (4*18)

Δ = 121 - (72)

Δ = 49      Δ > 0

-18x2-11x-1=0

x = -b ∓ √Δ 2a

x' = 11 - √49 2*-18 = 11 - 7.0 -36 = 4.0 -36 = -0.111111111111

x" = 11 + √49 2*-18 = 11 + 7.0 -36 = 18.0 -36 = -0.5

x' = -36.0

x" = -162.0

S = {x ∈ R / x' = -36.0, x" = -162.0 }