22x2 +5x -8 = 0

ax2 bx c = 0

a = 22

b = 5

c = -8

Δ = b2-4ac

Δ = 5² - (4 * 22 * -8)

Δ = 25 - (4*-176)

Δ = 25 - (-704)

Δ = 729      Δ > 0

22x2+5x-8=0

x = -b ∓ √Δ 2a

x' = -5 - √729 2*22 = -5 - 27.0 44 = -32.0 44 = -0.727272727273

x" = -5 + √729 2*22 = -5 + 27.0 44 = 22.0 44 = 0.5

x' = -352.0

x" = 242.0

S = {x ∈ R / x' = -352.0, x" = 242.0 }