-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 = -30.0 -30 = 1.0

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

x' = 225.0

x" = -135.0

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