18x2 +13x -11 = 0

ax2 bx c = 0

a = 18

b = 13

c = -11

Δ = b2-4ac

Δ = 13² - (4 * 18 * -11)

Δ = 169 - (4*-198)

Δ = 169 - (-792)

Δ = 961      Δ > 0

18x2+13x-11=0

x = -b ∓ √Δ 2a

x' = -13 - √961 2*18 = -13 - 31.0 36 = -44.0 36 = -1.22222222222

x" = -13 + √961 2*18 = -13 + 31.0 36 = 18.0 36 = 0.5

x' = -396.0

x" = 162.0

S = {x ∈ R / x' = -396.0, x" = 162.0 }