22x2 -17x -5 = 0

ax2 bx c = 0

a = 22

b = -17

c = -5

Δ = b2-4ac

Δ = -17² - (4 * 22 * -5)

Δ = 289 - (4*-110)

Δ = 289 - (-440)

Δ = 729      Δ > 0

22x2-17x-5=0

x = -b ∓ √Δ 2a

x' = 17 - √729 2*22 = 17 - 27.0 44 = -10.0 44 = -0.227272727273

x" = 17 + √729 2*22 = 17 + 27.0 44 = 44.0 44 = 1.0

x' = -110.0

x" = 484.0

S = {x ∈ R / x' = -110.0, x" = 484.0 }