-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 }