-4x2 -20x -9 = 0

ax2 bx c = 0

a = -4

b = -20

c = -9

Δ = b2-4ac

Δ = -20² - (4 * -4 * -9)

Δ = 400 - (4*36)

Δ = 400 - (144)

Δ = 256      Δ > 0

-4x2-20x-9=0

x = -b ∓ √Δ 2a

x' = 20 - √256 2*-4 = 20 - 16.0 -8 = 4.0 -8 = -0.5

x" = 20 + √256 2*-4 = 20 + 16.0 -8 = 36.0 -8 = -4.5

x' = -8.0

x" = -72.0

S = {x ∈ R / x' = -8.0, x" = -72.0 }