-4x2 -9x +9 = 0

ax2 bx c = 0

a = -4

b = -9

c = 9

Δ = b2-4ac

Δ = -9² - (4 * -4 * 9)

Δ = 81 - (4*-36)

Δ = 81 - (-144)

Δ = 225      Δ > 0

-4x2-9x+9=0

x = -b ∓ √Δ 2a

x' = 9 - √225 2*-4 = 9 - 15.0 -8 = -6.0 -8 = 0.75

x" = 9 + √225 2*-4 = 9 + 15.0 -8 = 24.0 -8 = -3.0

x' = 12.0

x" = -48.0

S = {x ∈ R / x' = 12.0, x" = -48.0 }