15x2 -9x -6 = 0

ax2 bx c = 0

a = 15

b = -9

c = -6

Δ = b2-4ac

Δ = -9² - (4 * 15 * -6)

Δ = 81 - (4*-90)

Δ = 81 - (-360)

Δ = 441      Δ > 0

15x2-9x-6=0

x = -b ∓ √Δ 2a

x' = 9 - √441 2*15 = 9 - 21.0 30 = -12.0 30 = -0.4

x" = 9 + √441 2*15 = 9 + 21.0 30 = 30.0 30 = 1.0

x' = -90.0

x" = 225.0

S = {x ∈ R / x' = -90.0, x" = 225.0 }