22x2 -14x -8 = 0

ax2 bx c = 0

a = 22

b = -14

c = -8

Δ = b2-4ac

Δ = -14² - (4 * 22 * -8)

Δ = 196 - (4*-176)

Δ = 196 - (-704)

Δ = 900      Δ > 0

22x2-14x-8=0

x = -b ∓ √Δ 2a

x' = 14 - √900 2*22 = 14 - 30.0 44 = -16.0 44 = -0.363636363636

x" = 14 + √900 2*22 = 14 + 30.0 44 = 44.0 44 = 1.0

x' = -176.0

x" = 484.0

S = {x ∈ R / x' = -176.0, x" = 484.0 }