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 = -36.0 36 = -1.0

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

x' = -324.0

x" = 234.0

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