18x2 +23x -6 = 0

ax2 bx c = 0

a = 18

b = 23

c = -6

Δ = b2-4ac

Δ = 23² - (4 * 18 * -6)

Δ = 529 - (4*-108)

Δ = 529 - (-432)

Δ = 961      Δ > 0

18x2+23x-6=0

x = -b ∓ √Δ 2a

x' = -23 - √961 2*18 = -23 - 31.0 36 = -54.0 36 = -1.5

x" = -23 + √961 2*18 = -23 + 31.0 36 = 8.0 36 = 0.222222222222

x' = -486.0

x" = 72.0

S = {x ∈ R / x' = -486.0, x" = 72.0 }