5x2 -6x -8 = 0

ax2 bx c = 0

a = 5

b = -6

c = -8

Δ = b2-4ac

Δ = -6² - (4 * 5 * -8)

Δ = 36 - (4*-40)

Δ = 36 - (-160)

Δ = 196      Δ > 0

5x2-6x-8=0

x = -b ∓ √Δ 2a

x' = 6 - √196 2*5 = 6 - 14.0 10 = -8.0 10 = -0.8

x" = 6 + √196 2*5 = 6 + 14.0 10 = 20.0 10 = 2.0

x' = -20.0

x" = 50.0

S = {x ∈ R / x' = -20.0, x" = 50.0 }