-1x2 +6x +16 = 0

ax2 bx c = 0

a = -1

b = 6

c = 16

Δ = b2-4ac

Δ = 6² - (4 * -1 * 16)

Δ = 36 - (4*-16)

Δ = 36 - (-64)

Δ = 100      Δ > 0

-x2+6x+16=0

x = -b ∓ √Δ 2a

x' = -6 - √100 2*-1 = -6 - 10.0 -2 = -16.0 -2 = 8.0

x" = -6 + √100 2*-1 = -6 + 10.0 -2 = 4.0 -2 = -2.0

x' = 8.0

x" = -2.0

S = {x ∈ R / x' = 8.0, x" = -2.0 }