-4x2 -14x -6 = 0

ax2 bx c = 0

a = -4

b = -14

c = -6

Δ = b2-4ac

Δ = -14² - (4 * -4 * -6)

Δ = 196 - (4*24)

Δ = 196 - (96)

Δ = 100      Δ > 0

-4x2-14x-6=0

x = -b ∓ √Δ 2a

x' = 14 - √100 2*-4 = 14 - 10.0 -8 = 4.0 -8 = -0.5

x" = 14 + √100 2*-4 = 14 + 10.0 -8 = 24.0 -8 = -3.0

x' = -8.0

x" = -48.0

S = {x ∈ R / x' = -8.0, x" = -48.0 }