20x2 -8x -1 = 0

ax2 bx c = 0

a = 20

b = -8

c = -1

Δ = b2-4ac

Δ = -8² - (4 * 20 * -1)

Δ = 64 - (4*-20)

Δ = 64 - (-80)

Δ = 144      Δ > 0

20x2-8x-1=0

x = -b ∓ √Δ 2a

x' = 8 - √144 2*20 = 8 - 12.0 40 = -4.0 40 = -0.1

x" = 8 + √144 2*20 = 8 + 12.0 40 = 20.0 40 = 0.5

x' = -40.0

x" = 200.0

S = {x ∈ R / x' = -40.0, x" = 200.0 }