-9x2 +13x -4 = 0

ax2 bx c = 0

a = -9

b = 13

c = -4

Δ = b2-4ac

Δ = 13² - (4 * -9 * -4)

Δ = 169 - (4*36)

Δ = 169 - (144)

Δ = 25      Δ > 0

-9x2+13x-4=0

x = -b ∓ √Δ 2a

x' = -13 - √25 2*-9 = -13 - 5.0 -18 = -18.0 -18 = 1.0

x" = -13 + √25 2*-9 = -13 + 5.0 -18 = -8.0 -18 = 0.444444444444

x' = 81.0

x" = 36.0

S = {x ∈ R / x' = 81.0, x" = 36.0 }