22x2 -13x -12 = 0

ax2 bx c = 0

a = 22

b = -13

c = -12

Δ = b2-4ac

Δ = -13² - (4 * 22 * -12)

Δ = 169 - (4*-264)

Δ = 169 - (-1056)

Δ = 1225      Δ > 0

22x2-13x-12=0

x = -b ∓ √Δ 2a

x' = 13 - √1225 2*22 = 13 - 35.0 44 = -22.0 44 = -0.5

x" = 13 + √1225 2*22 = 13 + 35.0 44 = 48.0 44 = 1.09090909091

x' = -242.0

x" = 528.0

S = {x ∈ R / x' = -242.0, x" = 528.0 }