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 }