22x2 +23x +6 = 0

ax2 bx c = 0

a = 22

b = 23

c = 6

Δ = b2-4ac

Δ = 23² - (4 * 22 * 6)

Δ = 529 - (4*132)

Δ = 529 - (528)

Δ = 1      Δ > 0

22x2+23x+6=0

x = -b ∓ √Δ 2a

x' = -23 - √1 2*22 = -23 - 1.0 44 = -24.0 44 = -0.545454545455

x" = -23 + √1 2*22 = -23 + 1.0 44 = -22.0 44 = -0.5

x' = -264.0

x" = -242.0

S = {x ∈ R / x' = -264.0, x" = -242.0 }