18x2 -5x -2 = 0

ax2 bx c = 0

a = 18

b = -5

c = -2

Δ = b2-4ac

Δ = -5² - (4 * 18 * -2)

Δ = 25 - (4*-36)

Δ = 25 - (-144)

Δ = 169      Δ > 0

18x2-5x-2=0

x = -b ∓ √Δ 2a

x' = 5 - √169 2*18 = 5 - 13.0 36 = -8.0 36 = -0.222222222222

x" = 5 + √169 2*18 = 5 + 13.0 36 = 18.0 36 = 0.5

x' = -72.0

x" = 162.0

S = {x ∈ R / x' = -72.0, x" = 162.0 }