-6x2 +x +22 = 0

ax2 bx c = 0

a = -6

b = 1

c = 22

Δ = b2-4ac

Δ = ² - (4 * -6 * 22)

Δ = 1 - (4*-132)

Δ = 1 - (-528)

Δ = 529      Δ > 0

-6x2+x+22=0

x = -b ∓ √Δ 2a

x' = -1 - √529 2*-6 = -1 - 23.0 -12 = -24.0 -12 = 2.0

x" = -1 + √529 2*-6 = -1 + 23.0 -12 = 22.0 -12 = -1.83333333333

x' = 72.0

x" = -66.0

S = {x ∈ R / x' = 72.0, x" = -66.0 }