18x2 -17x -1 = 0

ax2 bx c = 0

a = 18

b = -17

c = -1

Δ = b2-4ac

Δ = -17² - (4 * 18 * -1)

Δ = 289 - (4*-18)

Δ = 289 - (-72)

Δ = 361      Δ > 0

18x2-17x-1=0

x = -b ∓ √Δ 2a

x' = 17 - √361 2*18 = 17 - 19.0 36 = -2.0 36 = -0.0555555555556

x" = 17 + √361 2*18 = 17 + 19.0 36 = 36.0 36 = 1.0

x' = -18.0

x" = 324.0

S = {x ∈ R / x' = -18.0, x" = 324.0 }