-4x2 -9x -5 = 0

ax2 bx c = 0

a = -4

b = -9

c = -5

Δ = b2-4ac

Δ = -9² - (4 * -4 * -5)

Δ = 81 - (4*20)

Δ = 81 - (80)

Δ = 1      Δ > 0

-4x2-9x-5=0

x = -b ∓ √Δ 2a

x' = 9 - √1 2*-4 = 9 - 1.0 -8 = 8.0 -8 = -1.0

x" = 9 + √1 2*-4 = 9 + 1.0 -8 = 10.0 -8 = -1.25

x' = -16.0

x" = -20.0

S = {x ∈ R / x' = -16.0, x" = -20.0 }