-4x2 -15x -11 = 0

ax2 bx c = 0

a = -4

b = -15

c = -11

Δ = b2-4ac

Δ = -15² - (4 * -4 * -11)

Δ = 225 - (4*44)

Δ = 225 - (176)

Δ = 49      Δ > 0

-4x2-15x-11=0

x = -b ∓ √Δ 2a

x' = 15 - √49 2*-4 = 15 - 7.0 -8 = 8.0 -8 = -1.0

x" = 15 + √49 2*-4 = 15 + 7.0 -8 = 22.0 -8 = -2.75

x' = -16.0

x" = -44.0

S = {x ∈ R / x' = -16.0, x" = -44.0 }