22x2 -9x -13 = 0

ax2 bx c = 0

a = 22

b = -9

c = -13

Δ = b2-4ac

Δ = -9² - (4 * 22 * -13)

Δ = 81 - (4*-286)

Δ = 81 - (-1144)

Δ = 1225      Δ > 0

22x2-9x-13=0

x = -b ∓ √Δ 2a

x' = 9 - √1225 2*22 = 9 - 35.0 44 = -26.0 44 = -0.590909090909

x" = 9 + √1225 2*22 = 9 + 35.0 44 = 44.0 44 = 1.0

x' = -286.0

x" = 484.0

S = {x ∈ R / x' = -286.0, x" = 484.0 }