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 = -30.0 30 = -1.0

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

x' = -225.0

x" = 90.0

S = {x ∈ R / x' = -225.0, x" = 90.0 }