22x2 -7x -9 = 0

ax2 bx c = 0

a = 22

b = -7

c = -9

Δ = b2-4ac

Δ = -7² - (4 * 22 * -9)

Δ = 49 - (4*-198)

Δ = 49 - (-792)

Δ = 841      Δ > 0

22x2-7x-9=0

x = -b ∓ √Δ 2a

x' = 7 - √841 2*22 = 7 - 29.0 44 = -22.0 44 = -0.5

x" = 7 + √841 2*22 = 7 + 29.0 44 = 36.0 44 = 0.818181818182

x' = -242.0

x" = 396.0

S = {x ∈ R / x' = -242.0, x" = 396.0 }