22x2 -19x -3 = 0

ax2 bx c = 0

a = 22

b = -19

c = -3

Δ = b2-4ac

Δ = -19² - (4 * 22 * -3)

Δ = 361 - (4*-66)

Δ = 361 - (-264)

Δ = 625      Δ > 0

22x2-19x-3=0

x = -b ∓ √Δ 2a

x' = 19 - √625 2*22 = 19 - 25.0 44 = -6.0 44 = -0.136363636364

x" = 19 + √625 2*22 = 19 + 25.0 44 = 44.0 44 = 1.0

x' = -66.0

x" = 484.0

S = {x ∈ R / x' = -66.0, x" = 484.0 }