-6x2 -9x +6 = 0

ax2 bx c = 0

a = -6

b = -9

c = 6

Δ = b2-4ac

Δ = -9² - (4 * -6 * 6)

Δ = 81 - (4*-36)

Δ = 81 - (-144)

Δ = 225      Δ > 0

-6x2-9x+6=0

x = -b ∓ √Δ 2a

x' = 9 - √225 2*-6 = 9 - 15.0 -12 = -6.0 -12 = 0.5

x" = 9 + √225 2*-6 = 9 + 15.0 -12 = 24.0 -12 = -2.0

x' = 18.0

x" = -72.0

S = {x ∈ R / x' = 18.0, x" = -72.0 }