-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 = -26.0 -18 = 1.44444444444

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

x' = 117.0

x" = -81.0

S = {x ∈ R / x' = 117.0, x" = -81.0 }