22x2 -8x -14 = 0

ax2 bx c = 0

a = 22

b = -8

c = -14

Δ = b2-4ac

Δ = -8² - (4 * 22 * -14)

Δ = 64 - (4*-308)

Δ = 64 - (-1232)

Δ = 1296      Δ > 0

22x2-8x-14=0

x = -b ∓ √Δ 2a

x' = 8 - √1296 2*22 = 8 - 36.0 44 = -28.0 44 = -0.636363636364

x" = 8 + √1296 2*22 = 8 + 36.0 44 = 44.0 44 = 1.0

x' = -308.0

x" = 484.0

S = {x ∈ R / x' = -308.0, x" = 484.0 }