-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 = -18.0 -30 = 0.6

x" = 6 + √576 2*-15 = 6 + 24.0 -30 = 30.0 -30 = -1.0

x' = 135.0

x" = -225.0

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