-9x2 -8x +1 = 0

ax2 bx c = 0

a = -9

b = -8

c = 1

Δ = b2-4ac

Δ = -8² - (4 * -9 * 1)

Δ = 64 - (4*-9)

Δ = 64 - (-36)

Δ = 100      Δ > 0

-9x2-8x+1=0

x = -b ∓ √Δ 2a

x' = 8 - √100 2*-9 = 8 - 10.0 -18 = -2.0 -18 = 0.111111111111

x" = 8 + √100 2*-9 = 8 + 10.0 -18 = 18.0 -18 = -1.0

x' = 9.0

x" = -81.0

S = {x ∈ R / x' = 9.0, x" = -81.0 }