-1x2 +10x -16 = 0

ax2 bx c = 0

a = -1

b = 10

c = -16

Δ = b2-4ac

Δ = 10² - (4 * -1 * -16)

Δ = 100 - (4*16)

Δ = 100 - (64)

Δ = 36      Δ > 0

-x2+10x-16=0

x = -b ∓ √Δ 2a

x' = -10 - √36 2*-1 = -10 - 6.0 -2 = -16.0 -2 = 8.0

x" = -10 + √36 2*-1 = -10 + 6.0 -2 = -4.0 -2 = 2.0

x' = 8.0

x" = 2.0

S = {x ∈ R / x' = 8.0, x" = 2.0 }