18x2 -17x -13 = 0

ax2 bx c = 0

a = 18

b = -17

c = -13

Δ = b2-4ac

Δ = -17² - (4 * 18 * -13)

Δ = 289 - (4*-234)

Δ = 289 - (-936)

Δ = 1225      Δ > 0

18x2-17x-13=0

x = -b ∓ √Δ 2a

x' = 17 - √1225 2*18 = 17 - 35.0 36 = -18.0 36 = -0.5

x" = 17 + √1225 2*18 = 17 + 35.0 36 = 52.0 36 = 1.44444444444

x' = -162.0

x" = 468.0

S = {x ∈ R / x' = -162.0, x" = 468.0 }