-1x2 -8x +9 = 0

ax2 bx c = 0

a = -1

b = -8

c = 9

Δ = b2-4ac

Δ = -8² - (4 * -1 * 9)

Δ = 64 - (4*-9)

Δ = 64 - (-36)

Δ = 100      Δ > 0

-x2-8x+9=0

x = -b ∓ √Δ 2a

x' = 8 - √100 2*-1 = 8 - 10.0 -2 = -2.0 -2 = 1.0

x" = 8 + √100 2*-1 = 8 + 10.0 -2 = 18.0 -2 = -9.0

x' = 1.0

x" = -9.0

S = {x ∈ R / x' = 1.0, x" = -9.0 }