18x2 +x -17 = 0

ax2 bx c = 0

a = 18

b = 1

c = -17

Δ = b2-4ac

Δ = ² - (4 * 18 * -17)

Δ = 1 - (4*-306)

Δ = 1 - (-1224)

Δ = 1225      Δ > 0

18x2+x-17=0

x = -b ∓ √Δ 2a

x' = -1 - √1225 2*18 = -1 - 35.0 36 = -36.0 36 = -1.0

x" = -1 + √1225 2*18 = -1 + 35.0 36 = 34.0 36 = 0.944444444444

x' = -324.0

x" = 306.0

S = {x ∈ R / x' = -324.0, x" = 306.0 }