-4x2 -12x -5 = 0

ax2 bx c = 0

a = -4

b = -12

c = -5

Δ = b2-4ac

Δ = -12² - (4 * -4 * -5)

Δ = 144 - (4*20)

Δ = 144 - (80)

Δ = 64      Δ > 0

-4x2-12x-5=0

x = -b ∓ √Δ 2a

x' = 12 - √64 2*-4 = 12 - 8.0 -8 = 4.0 -8 = -0.5

x" = 12 + √64 2*-4 = 12 + 8.0 -8 = 20.0 -8 = -2.5

x' = -8.0

x" = -40.0

S = {x ∈ R / x' = -8.0, x" = -40.0 }