18x2 -7x -1 = 0

ax2 bx c = 0

a = 18

b = -7

c = -1

Δ = b2-4ac

Δ = -7² - (4 * 18 * -1)

Δ = 49 - (4*-18)

Δ = 49 - (-72)

Δ = 121      Δ > 0

18x2-7x-1=0

x = -b ∓ √Δ 2a

x' = 7 - √121 2*18 = 7 - 11.0 36 = -4.0 36 = -0.111111111111

x" = 7 + √121 2*18 = 7 + 11.0 36 = 18.0 36 = 0.5

x' = -36.0

x" = 162.0

S = {x ∈ R / x' = -36.0, x" = 162.0 }