-18x2 +19x +14 = 0

ax2 bx c = 0

a = -18

b = 19

c = 14

Δ = b2-4ac

Δ = 19² - (4 * -18 * 14)

Δ = 361 - (4*-252)

Δ = 361 - (-1008)

Δ = 1369      Δ > 0

-18x2+19x+14=0

x = -b ∓ √Δ 2a

x' = -19 - √1369 2*-18 = -19 - 37.0 -36 = -56.0 -36 = 1.55555555556

x" = -19 + √1369 2*-18 = -19 + 37.0 -36 = 18.0 -36 = -0.5

x' = 504.0

x" = -162.0

S = {x ∈ R / x' = 504.0, x" = -162.0 }