-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 = 9      Δ > 0

-6x2+15x-9=0

x = -b ∓ √Δ 2a

x' = -15 - √9 2*-6 = -15 - 3.0 -12 = -18.0 -12 = 1.5

x" = -15 + √9 2*-6 = -15 + 3.0 -12 = -12.0 -12 = 1.0

x' = 54.0

x" = 36.0

S = {x ∈ R / x' = 54.0, x" = 36.0 }