22x2 -9x -10 = 0

ax2 bx c = 0

a = 22

b = -9

c = -10

Δ = b2-4ac

Δ = -9² - (4 * 22 * -10)

Δ = 81 - (4*-220)

Δ = 81 - (-880)

Δ = 961      Δ > 0

22x2-9x-10=0

x = -b ∓ √Δ 2a

x' = 9 - √961 2*22 = 9 - 31.0 44 = -22.0 44 = -0.5

x" = 9 + √961 2*22 = 9 + 31.0 44 = 40.0 44 = 0.909090909091

x' = -242.0

x" = 440.0

S = {x ∈ R / x' = -242.0, x" = 440.0 }