18x2 -7x -11 = 0

ax2 bx c = 0

a = 18

b = -7

c = -11

Δ = b2-4ac

Δ = -7² - (4 * 18 * -11)

Δ = 49 - (4*-198)

Δ = 49 - (-792)

Δ = 841      Δ > 0

18x2-7x-11=0

x = -b ∓ √Δ 2a

x' = 7 - √841 2*18 = 7 - 29.0 36 = -22.0 36 = -0.611111111111

x" = 7 + √841 2*18 = 7 + 29.0 36 = 36.0 36 = 1.0

x' = -198.0

x" = 324.0

S = {x ∈ R / x' = -198.0, x" = 324.0 }