-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 = -36.0 -36 = 1.0

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

x' = 324.0

x" = -198.0

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