-6x2 +8x -2 = 0

ax2 bx c = 0

a = -6

b = 8

c = -2

Δ = b2-4ac

Δ = 8² - (4 * -6 * -2)

Δ = 64 - (4*12)

Δ = 64 - (48)

Δ = 16      Δ > 0

-6x2+8x-2=0

x = -b ∓ √Δ 2a

x' = -8 - √16 2*-6 = -8 - 4.0 -12 = -12.0 -12 = 1.0

x" = -8 + √16 2*-6 = -8 + 4.0 -12 = -4.0 -12 = 0.333333333333

x' = 36.0

x" = 12.0

S = {x ∈ R / x' = 36.0, x" = 12.0 }