-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 }