5x2 -12x +4 = 0

ax2 bx c = 0

a = 5

b = -12

c = 4

Δ = b2-4ac

Δ = -12² - (4 * 5 * 4)

Δ = 144 - (4*20)

Δ = 144 - (80)

Δ = 64      Δ > 0

5x2-12x+4=0

x = -b ∓ √Δ 2a

x' = 12 - √64 2*5 = 12 - 8.0 10 = 4.0 10 = 0.4

x" = 12 + √64 2*5 = 12 + 8.0 10 = 20.0 10 = 2.0

x' = 10.0

x" = 50.0

S = {x ∈ R / x' = 10.0, x" = 50.0 }