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 = -44.0 44 = -1.0

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

x' = -484.0

x" = 374.0

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