5x2 -18x -8 = 0

ax2 bx c = 0

a = 5

b = -18

c = -8

Δ = b2-4ac

Δ = -18² - (4 * 5 * -8)

Δ = 324 - (4*-40)

Δ = 324 - (-160)

Δ = 484      Δ > 0

5x2-18x-8=0

x = -b ∓ √Δ 2a

x' = 18 - √484 2*5 = 18 - 22.0 10 = -4.0 10 = -0.4

x" = 18 + √484 2*5 = 18 + 22.0 10 = 40.0 10 = 4.0

x' = -10.0

x" = 100.0

S = {x ∈ R / x' = -10.0, x" = 100.0 }