22x2 -5x -17 = 0

ax2 bx c = 0

a = 22

b = -5

c = -17

Δ = b2-4ac

Δ = -5² - (4 * 22 * -17)

Δ = 25 - (4*-374)

Δ = 25 - (-1496)

Δ = 1521      Δ > 0

22x2-5x-17=0

x = -b ∓ √Δ 2a

x' = 5 - √1521 2*22 = 5 - 39.0 44 = -34.0 44 = -0.772727272727

x" = 5 + √1521 2*22 = 5 + 39.0 44 = 44.0 44 = 1.0

x' = -374.0

x" = 484.0

S = {x ∈ R / x' = -374.0, x" = 484.0 }