5x2 -16x -16 = 0

ax2 bx c = 0

a = 5

b = -16

c = -16

Δ = b2-4ac

Δ = -16² - (4 * 5 * -16)

Δ = 256 - (4*-80)

Δ = 256 - (-320)

Δ = 576      Δ > 0

5x2-16x-16=0

x = -b ∓ √Δ 2a

x' = 16 - √576 2*5 = 16 - 24.0 10 = -8.0 10 = -0.8

x" = 16 + √576 2*5 = 16 + 24.0 10 = 40.0 10 = 4.0

x' = -20.0

x" = 100.0

S = {x ∈ R / x' = -20.0, x" = 100.0 }