-1x2 -10x -9 = 0

ax2 bx c = 0

a = -1

b = -10

c = -9

Δ = b2-4ac

Δ = -10² - (4 * -1 * -9)

Δ = 100 - (4*9)

Δ = 100 - (36)

Δ = 64      Δ > 0

-x2-10x-9=0

x = -b ∓ √Δ 2a

x' = 10 - √64 2*-1 = 10 - 8.0 -2 = 2.0 -2 = -1.0

x" = 10 + √64 2*-1 = 10 + 8.0 -2 = 18.0 -2 = -9.0

x' = -1.0

x" = -9.0

S = {x ∈ R / x' = -1.0, x" = -9.0 }