-6x2 +22x -20 = 0

ax2 bx c = 0

a = -6

b = 22

c = -20

Δ = b2-4ac

Δ = 22² - (4 * -6 * -20)

Δ = 484 - (4*120)

Δ = 484 - (480)

Δ = 4      Δ > 0

-6x2+22x-20=0

x = -b ∓ √Δ 2a

x' = -22 - √4 2*-6 = -22 - 2.0 -12 = -24.0 -12 = 2.0

x" = -22 + √4 2*-6 = -22 + 2.0 -12 = -20.0 -12 = 1.66666666667

x' = 72.0

x" = 60.0

S = {x ∈ R / x' = 72.0, x" = 60.0 }