22x2 -17x +3 = 0

ax2 bx c = 0

a = 22

b = -17

c = 3

Δ = b2-4ac

Δ = -17² - (4 * 22 * 3)

Δ = 289 - (4*66)

Δ = 289 - (264)

Δ = 25      Δ > 0

22x2-17x+3=0

x = -b ∓ √Δ 2a

x' = 17 - √25 2*22 = 17 - 5.0 44 = 12.0 44 = 0.272727272727

x" = 17 + √25 2*22 = 17 + 5.0 44 = 22.0 44 = 0.5

x' = 132.0

x" = 242.0

S = {x ∈ R / x' = 132.0, x" = 242.0 }