-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 = -18.0 -2 = 9.0

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

x' = 9.0

x" = 1.0

S = {x ∈ R / x' = 9.0, x" = 1.0 }