20x2 -8x -9 = 0

ax2 bx c = 0

a = 20

b = -8

c = -9

Δ = b2-4ac

Δ = -8² - (4 * 20 * -9)

Δ = 64 - (4*-180)

Δ = 64 - (-720)

Δ = 784      Δ > 0

20x2-8x-9=0

x = -b ∓ √Δ 2a

x' = 8 - √784 2*20 = 8 - 28.0 40 = -20.0 40 = -0.5

x" = 8 + √784 2*20 = 8 + 28.0 40 = 36.0 40 = 0.9

x' = -200.0

x" = 360.0

S = {x ∈ R / x' = -200.0, x" = 360.0 }