-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 }