-4x2 +14x -12 = 0

ax2 bx c = 0

a = -4

b = 14

c = -12

Δ = b2-4ac

Δ = 14² - (4 * -4 * -12)

Δ = 196 - (4*48)

Δ = 196 - (192)

Δ = 4      Δ > 0

-4x2+14x-12=0

x = -b ∓ √Δ 2a

x' = -14 - √4 2*-4 = -14 - 2.0 -8 = -16.0 -8 = 2.0

x" = -14 + √4 2*-4 = -14 + 2.0 -8 = -12.0 -8 = 1.5

x' = 32.0

x" = 24.0

S = {x ∈ R / x' = 32.0, x" = 24.0 }