-1x2 -6x -5 = 0

ax2 bx c = 0

a = -1

b = -6

c = -5

Δ = b2-4ac

Δ = -6² - (4 * -1 * -5)

Δ = 36 - (4*5)

Δ = 36 - (20)

Δ = 16      Δ > 0

-x2-6x-5=0

x = -b ∓ √Δ 2a

x' = 6 - √16 2*-1 = 6 - 4.0 -2 = 2.0 -2 = -1.0

x" = 6 + √16 2*-1 = 6 + 4.0 -2 = 10.0 -2 = -5.0

x' = -1.0

x" = -5.0

S = {x ∈ R / x' = -1.0, x" = -5.0 }