18x2 -9x -9 = 0

ax2 bx c = 0

a = 18

b = -9

c = -9

Δ = b2-4ac

Δ = -9² - (4 * 18 * -9)

Δ = 81 - (4*-162)

Δ = 81 - (-648)

Δ = 729      Δ > 0

18x2-9x-9=0

x = -b ∓ √Δ 2a

x' = 9 - √729 2*18 = 9 - 27.0 36 = -18.0 36 = -0.5

x" = 9 + √729 2*18 = 9 + 27.0 36 = 36.0 36 = 1.0

x' = -162.0

x" = 324.0

S = {x ∈ R / x' = -162.0, x" = 324.0 }