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 = -22.0 44 = -0.5
x" = 5 + √729 2*22 = 5 + 27.0 44 = 32.0 44 = 0.727272727273
x' = -242.0
x" = 352.0
S = {x ∈ R / x' = -242.0, x" = 352.0 }