19x2 -14x -5 = 0

ax2 bx c = 0

a = 19

b = -14

c = -5

Δ = b2-4ac

Δ = -14² - (4 * 19 * -5)

Δ = 196 - (4*-95)

Δ = 196 - (-380)

Δ = 576      Δ > 0

19x2-14x-5=0

x = -b ∓ √Δ 2a

x' = 14 - √576 2*19 = 14 - 24.0 38 = -10.0 38 = -0.263157894737

x" = 14 + √576 2*19 = 14 + 24.0 38 = 38.0 38 = 1.0

x' = -95.0

x" = 361.0

S = {x ∈ R / x' = -95.0, x" = 361.0 }