-4x2 -15x -9 = 0

ax2 bx c = 0

a = -4

b = -15

c = -9

Δ = b2-4ac

Δ = -15² - (4 * -4 * -9)

Δ = 225 - (4*36)

Δ = 225 - (144)

Δ = 81      Δ > 0

-4x2-15x-9=0

x = -b ∓ √Δ 2a

x' = 15 - √81 2*-4 = 15 - 9.0 -8 = 6.0 -8 = -0.75

x" = 15 + √81 2*-4 = 15 + 9.0 -8 = 24.0 -8 = -3.0

x' = -12.0

x" = -48.0

S = {x ∈ R / x' = -12.0, x" = -48.0 }