18x2 -5x -13 = 0

ax2 bx c = 0

a = 18

b = -5

c = -13

Δ = b2-4ac

Δ = -5² - (4 * 18 * -13)

Δ = 25 - (4*-234)

Δ = 25 - (-936)

Δ = 961      Δ > 0

18x2-5x-13=0

x = -b ∓ √Δ 2a

x' = 5 - √961 2*18 = 5 - 31.0 36 = -26.0 36 = -0.722222222222

x" = 5 + √961 2*18 = 5 + 31.0 36 = 36.0 36 = 1.0

x' = -234.0

x" = 324.0

S = {x ∈ R / x' = -234.0, x" = 324.0 }