-9x2 -11x +20 = 0

ax2 bx c = 0

a = -9

b = -11

c = 20

Δ = b2-4ac

Δ = -11² - (4 * -9 * 20)

Δ = 121 - (4*-180)

Δ = 121 - (-720)

Δ = 841      Δ > 0

-9x2-11x+20=0

x = -b ∓ √Δ 2a

x' = 11 - √841 2*-9 = 11 - 29.0 -18 = -18.0 -18 = 1.0

x" = 11 + √841 2*-9 = 11 + 29.0 -18 = 40.0 -18 = -2.22222222222

x' = 81.0

x" = -180.0

S = {x ∈ R / x' = 81.0, x" = -180.0 }