-4x2 -13x -9 = 0

ax2 bx c = 0

a = -4

b = -13

c = -9

Δ = b2-4ac

Δ = -13² - (4 * -4 * -9)

Δ = 169 - (4*36)

Δ = 169 - (144)

Δ = 25      Δ > 0

-4x2-13x-9=0

x = -b ∓ √Δ 2a

x' = 13 - √25 2*-4 = 13 - 5.0 -8 = 8.0 -8 = -1.0

x" = 13 + √25 2*-4 = 13 + 5.0 -8 = 18.0 -8 = -2.25

x' = -16.0

x" = -36.0

S = {x ∈ R / x' = -16.0, x" = -36.0 }