22x2 -15x -13 = 0

ax2 bx c = 0

a = 22

b = -15

c = -13

Δ = b2-4ac

Δ = -15² - (4 * 22 * -13)

Δ = 225 - (4*-286)

Δ = 225 - (-1144)

Δ = 1369      Δ > 0

22x2-15x-13=0

x = -b ∓ √Δ 2a

x' = 15 - √1369 2*22 = 15 - 37.0 44 = -22.0 44 = -0.5

x" = 15 + √1369 2*22 = 15 + 37.0 44 = 52.0 44 = 1.18181818182

x' = -242.0

x" = 572.0

S = {x ∈ R / x' = -242.0, x" = 572.0 }