-9x2 -x +8 = 0

ax2 bx c = 0

a = -9

b = -1

c = 8

Δ = b2-4ac

Δ = -² - (4 * -9 * 8)

Δ = 1 - (4*-72)

Δ = 1 - (-288)

Δ = 289      Δ > 0

-9x2-x+8=0

x = -b ∓ √Δ 2a

x' = 1 - √289 2*-9 = 1 - 17.0 -18 = -16.0 -18 = 0.888888888889

x" = 1 + √289 2*-9 = 1 + 17.0 -18 = 18.0 -18 = -1.0

x' = 72.0

x" = -81.0

S = {x ∈ R / x' = 72.0, x" = -81.0 }