-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 = -18.0 -18 = 1.0

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

x' = 81.0

x" = -99.0

S = {x ∈ R / x' = 81.0, x" = -99.0 }