-6x2 -15x -9 = 0

ax2 bx c = 0

a = -6

b = -15

c = -9

Δ = b2-4ac

Δ = -15² - (4 * -6 * -9)

Δ = 225 - (4*54)

Δ = 225 - (216)

Δ = 9      Δ > 0

-6x2-15x-9=0

x = -b ∓ √Δ 2a

x' = 15 - √9 2*-6 = 15 - 3.0 -12 = 12.0 -12 = -1.0

x" = 15 + √9 2*-6 = 15 + 3.0 -12 = 18.0 -12 = -1.5

x' = -36.0

x" = -54.0

S = {x ∈ R / x' = -36.0, x" = -54.0 }