-9x2 -4x +13 = 0

ax2 bx c = 0

a = -9

b = -4

c = 13

Δ = b2-4ac

Δ = -4² - (4 * -9 * 13)

Δ = 16 - (4*-117)

Δ = 16 - (-468)

Δ = 484      Δ > 0

-9x2-4x+13=0

x = -b ∓ √Δ 2a

x' = 4 - √484 2*-9 = 4 - 22.0 -18 = -18.0 -18 = 1.0

x" = 4 + √484 2*-9 = 4 + 22.0 -18 = 26.0 -18 = -1.44444444444

x' = 81.0

x" = -117.0

S = {x ∈ R / x' = 81.0, x" = -117.0 }