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 = -18.0 36 = -0.5

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

x' = -162.0

x" = 36.0

S = {x ∈ R / x' = -162.0, x" = 36.0 }