-9x2 -5x +4 = 0

ax2 bx c = 0

a = -9

b = -5

c = 4

Δ = b2-4ac

Δ = -5² - (4 * -9 * 4)

Δ = 25 - (4*-36)

Δ = 25 - (-144)

Δ = 169      Δ > 0

-9x2-5x+4=0

x = -b ∓ √Δ 2a

x' = 5 - √169 2*-9 = 5 - 13.0 -18 = -8.0 -18 = 0.444444444444

x" = 5 + √169 2*-9 = 5 + 13.0 -18 = 18.0 -18 = -1.0

x' = 36.0

x" = -81.0

S = {x ∈ R / x' = 36.0, x" = -81.0 }