-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 = -52.0 -36 = 1.44444444444

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

x' = 468.0

x" = -162.0

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