-6x2 -15x +9 = 0

ax2 bx c = 0

a = -6

b = -15

c = 9

Δ = b2-4ac

Δ = -15² - (4 * -6 * 9)

Δ = 225 - (4*-54)

Δ = 225 - (-216)

Δ = 441      Δ > 0

-6x2-15x+9=0

x = -b ∓ √Δ 2a

x' = 15 - √441 2*-6 = 15 - 21.0 -12 = -6.0 -12 = 0.5

x" = 15 + √441 2*-6 = 15 + 21.0 -12 = 36.0 -12 = -3.0

x' = 18.0

x" = -108.0

S = {x ∈ R / x' = 18.0, x" = -108.0 }