-12x2 -4x +5 = 0

ax2 bx c = 0

a = -12

b = -4

c = 5

Δ = b2-4ac

Δ = -4² - (4 * -12 * 5)

Δ = 16 - (4*-60)

Δ = 16 - (-240)

Δ = 256      Δ > 0

-12x2-4x+5=0

x = -b ∓ √Δ 2a

x' = 4 - √256 2*-12 = 4 - 16.0 -24 = -12.0 -24 = 0.5

x" = 4 + √256 2*-12 = 4 + 16.0 -24 = 20.0 -24 = -0.833333333333

x' = 72.0

x" = -120.0

S = {x ∈ R / x' = 72.0, x" = -120.0 }