-4x2 +13x -9 = 0

ax2 bx c = 0

a = -4

b = 13

c = -9

Δ = b2-4ac

Δ = 13² - (4 * -4 * -9)

Δ = 169 - (4*36)

Δ = 169 - (144)

Δ = 25      Δ > 0

-4x2+13x-9=0

x = -b ∓ √Δ 2a

x' = -13 - √25 2*-4 = -13 - 5.0 -8 = -18.0 -8 = 2.25

x" = -13 + √25 2*-4 = -13 + 5.0 -8 = -8.0 -8 = 1.0

x' = 36.0

x" = 16.0

S = {x ∈ R / x' = 36.0, x" = 16.0 }