-12x2 +14x -2 = 0

ax2 bx c = 0

a = -12

b = 14

c = -2

Δ = b2-4ac

Δ = 14² - (4 * -12 * -2)

Δ = 196 - (4*24)

Δ = 196 - (96)

Δ = 100      Δ > 0

-12x2+14x-2=0

x = -b ∓ √Δ 2a

x' = -14 - √100 2*-12 = -14 - 10.0 -24 = -24.0 -24 = 1.0

x" = -14 + √100 2*-12 = -14 + 10.0 -24 = -4.0 -24 = 0.166666666667

x' = 144.0

x" = 24.0

S = {x ∈ R / x' = 144.0, x" = 24.0 }