-9x2 +2x +11 = 0

ax2 bx c = 0

a = -9

b = 2

c = 11

Δ = b2-4ac

Δ = 2² - (4 * -9 * 11)

Δ = 4 - (4*-99)

Δ = 4 - (-396)

Δ = 400      Δ > 0

-9x2+2x+11=0

x = -b ∓ √Δ 2a

x' = -2 - √400 2*-9 = -2 - 20.0 -18 = -22.0 -18 = 1.22222222222

x" = -2 + √400 2*-9 = -2 + 20.0 -18 = 18.0 -18 = -1.0

x' = 99.0

x" = -81.0

S = {x ∈ R / x' = 99.0, x" = -81.0 }