-8x2 -14x -3 = 0

ax2 bx c = 0

a = -8

b = -14

c = -3

Δ = b2-4ac

Δ = -14² - (4 * -8 * -3)

Δ = 196 - (4*24)

Δ = 196 - (96)

Δ = 100      Δ > 0

-8x2-14x-3=0

x = -b ∓ √Δ 2a

x' = 14 - √100 2*-8 = 14 - 10.0 -16 = 4.0 -16 = -0.25

x" = 14 + √100 2*-8 = 14 + 10.0 -16 = 24.0 -16 = -1.5

x' = -16.0

x" = -96.0

S = {x ∈ R / x' = -16.0, x" = -96.0 }