-18x2 -11x +7 = 0

ax2 bx c = 0

a = -18

b = -11

c = 7

Δ = b2-4ac

Δ = -11² - (4 * -18 * 7)

Δ = 121 - (4*-126)

Δ = 121 - (-504)

Δ = 625      Δ > 0

-18x2-11x+7=0

x = -b ∓ √Δ 2a

x' = 11 - √625 2*-18 = 11 - 25.0 -36 = -14.0 -36 = 0.388888888889

x" = 11 + √625 2*-18 = 11 + 25.0 -36 = 36.0 -36 = -1.0

x' = 126.0

x" = -324.0

S = {x ∈ R / x' = 126.0, x" = -324.0 }