-18x2 +13x +5 = 0

ax2 bx c = 0

a = -18

b = 13

c = 5

Δ = b2-4ac

Δ = 13² - (4 * -18 * 5)

Δ = 169 - (4*-90)

Δ = 169 - (-360)

Δ = 529      Δ > 0

-18x2+13x+5=0

x = -b ∓ √Δ 2a

x' = -13 - √529 2*-18 = -13 - 23.0 -36 = -36.0 -36 = 1.0

x" = -13 + √529 2*-18 = -13 + 23.0 -36 = 10.0 -36 = -0.277777777778

x' = 324.0

x" = -90.0

S = {x ∈ R / x' = 324.0, x" = -90.0 }