-1x2 +11x -10 = 0

ax2 bx c = 0

a = -1

b = 11

c = -10

Δ = b2-4ac

Δ = 11² - (4 * -1 * -10)

Δ = 121 - (4*10)

Δ = 121 - (40)

Δ = 81      Δ > 0

-x2+11x-10=0

x = -b ∓ √Δ 2a

x' = -11 - √81 2*-1 = -11 - 9.0 -2 = -20.0 -2 = 10.0

x" = -11 + √81 2*-1 = -11 + 9.0 -2 = -2.0 -2 = 1.0

x' = 10.0

x" = 1.0

S = {x ∈ R / x' = 10.0, x" = 1.0 }