-4x2 -20x -16 = 0

ax2 bx c = 0

a = -4

b = -20

c = -16

Δ = b2-4ac

Δ = -20² - (4 * -4 * -16)

Δ = 400 - (4*64)

Δ = 400 - (256)

Δ = 144      Δ > 0

-4x2-20x-16=0

x = -b ∓ √Δ 2a

x' = 20 - √144 2*-4 = 20 - 12.0 -8 = 8.0 -8 = -1.0

x" = 20 + √144 2*-4 = 20 + 12.0 -8 = 32.0 -8 = -4.0

x' = -16.0

x" = -64.0

S = {x ∈ R / x' = -16.0, x" = -64.0 }