-1x2 +8x -12 = 0

ax2 bx c = 0

a = -1

b = 8

c = -12

Δ = b2-4ac

Δ = 8² - (4 * -1 * -12)

Δ = 64 - (4*12)

Δ = 64 - (48)

Δ = 16      Δ > 0

-x2+8x-12=0

x = -b ∓ √Δ 2a

x' = -8 - √16 2*-1 = -8 - 4.0 -2 = -12.0 -2 = 6.0

x" = -8 + √16 2*-1 = -8 + 4.0 -2 = -4.0 -2 = 2.0

x' = 6.0

x" = 2.0

S = {x ∈ R / x' = 6.0, x" = 2.0 }