22x2 -19x +4 = 0

ax2 bx c = 0

a = 22

b = -19

c = 4

Δ = b2-4ac

Δ = -19² - (4 * 22 * 4)

Δ = 361 - (4*88)

Δ = 361 - (352)

Δ = 9      Δ > 0

22x2-19x+4=0

x = -b ∓ √Δ 2a

x' = 19 - √9 2*22 = 19 - 3.0 44 = 16.0 44 = 0.363636363636

x" = 19 + √9 2*22 = 19 + 3.0 44 = 22.0 44 = 0.5

x' = 176.0

x" = 242.0

S = {x ∈ R / x' = 176.0, x" = 242.0 }