-4x2 -18x -14 = 0

ax2 bx c = 0

a = -4

b = -18

c = -14

Δ = b2-4ac

Δ = -18² - (4 * -4 * -14)

Δ = 324 - (4*56)

Δ = 324 - (224)

Δ = 100      Δ > 0

-4x2-18x-14=0

x = -b ∓ √Δ 2a

x' = 18 - √100 2*-4 = 18 - 10.0 -8 = 8.0 -8 = -1.0

x" = 18 + √100 2*-4 = 18 + 10.0 -8 = 28.0 -8 = -3.5

x' = -16.0

x" = -56.0

S = {x ∈ R / x' = -16.0, x" = -56.0 }