22x2 -5x -3 = 0

ax2 bx c = 0

a = 22

b = -5

c = -3

Δ = b2-4ac

Δ = -5² - (4 * 22 * -3)

Δ = 25 - (4*-66)

Δ = 25 - (-264)

Δ = 289      Δ > 0

22x2-5x-3=0

x = -b ∓ √Δ 2a

x' = 5 - √289 2*22 = 5 - 17.0 44 = -12.0 44 = -0.272727272727

x" = 5 + √289 2*22 = 5 + 17.0 44 = 22.0 44 = 0.5

x' = -132.0

x" = 242.0

S = {x ∈ R / x' = -132.0, x" = 242.0 }