15x2 -6x -9 = 0

ax2 bx c = 0

a = 15

b = -6

c = -9

Δ = b2-4ac

Δ = -6² - (4 * 15 * -9)

Δ = 36 - (4*-135)

Δ = 36 - (-540)

Δ = 576      Δ > 0

15x2-6x-9=0

x = -b ∓ √Δ 2a

x' = 6 - √576 2*15 = 6 - 24.0 30 = -18.0 30 = -0.6

x" = 6 + √576 2*15 = 6 + 24.0 30 = 30.0 30 = 1.0

x' = -135.0

x" = 225.0

S = {x ∈ R / x' = -135.0, x" = 225.0 }