22x2 -9x -1 = 0

ax2 bx c = 0

a = 22

b = -9

c = -1

Δ = b2-4ac

Δ = -9² - (4 * 22 * -1)

Δ = 81 - (4*-22)

Δ = 81 - (-88)

Δ = 169      Δ > 0

22x2-9x-1=0

x = -b ∓ √Δ 2a

x' = 9 - √169 2*22 = 9 - 13.0 44 = -4.0 44 = -0.0909090909091

x" = 9 + √169 2*22 = 9 + 13.0 44 = 22.0 44 = 0.5

x' = -44.0

x" = 242.0

S = {x ∈ R / x' = -44.0, x" = 242.0 }