-9x2 +20x -11 = 0

ax2 bx c = 0

a = -9

b = 20

c = -11

Δ = b2-4ac

Δ = 20² - (4 * -9 * -11)

Δ = 400 - (4*99)

Δ = 400 - (396)

Δ = 4      Δ > 0

-9x2+20x-11=0

x = -b ∓ √Δ 2a

x' = -20 - √4 2*-9 = -20 - 2.0 -18 = -22.0 -18 = 1.22222222222

x" = -20 + √4 2*-9 = -20 + 2.0 -18 = -18.0 -18 = 1.0

x' = 99.0

x" = 81.0

S = {x ∈ R / x' = 99.0, x" = 81.0 }