-6x2 -2x +8 = 0

ax2 bx c = 0

a = -6

b = -2

c = 8

Δ = b2-4ac

Δ = -2² - (4 * -6 * 8)

Δ = 4 - (4*-48)

Δ = 4 - (-192)

Δ = 196      Δ > 0

-6x2-2x+8=0

x = -b ∓ √Δ 2a

x' = 2 - √196 2*-6 = 2 - 14.0 -12 = -12.0 -12 = 1.0

x" = 2 + √196 2*-6 = 2 + 14.0 -12 = 16.0 -12 = -1.33333333333

x' = 36.0

x" = -48.0

S = {x ∈ R / x' = 36.0, x" = -48.0 }