22x2 -12x -10 = 0

ax2 bx c = 0

a = 22

b = -12

c = -10

Δ = b2-4ac

Δ = -12² - (4 * 22 * -10)

Δ = 144 - (4*-220)

Δ = 144 - (-880)

Δ = 1024      Δ > 0

22x2-12x-10=0

x = -b ∓ √Δ 2a

x' = 12 - √1024 2*22 = 12 - 32.0 44 = -20.0 44 = -0.454545454545

x" = 12 + √1024 2*22 = 12 + 32.0 44 = 44.0 44 = 1.0

x' = -220.0

x" = 484.0

S = {x ∈ R / x' = -220.0, x" = 484.0 }