-1x2 +2x +8 = 0

ax2 bx c = 0

a = -1

b = 2

c = 8

Δ = b2-4ac

Δ = 2² - (4 * -1 * 8)

Δ = 4 - (4*-8)

Δ = 4 - (-32)

Δ = 36      Δ > 0

-x2+2x+8=0

x = -b ∓ √Δ 2a

x' = -2 - √36 2*-1 = -2 - 6.0 -2 = -8.0 -2 = 4.0

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

x' = 4.0

x" = -2.0

S = {x ∈ R / x' = 4.0, x" = -2.0 }