13x2 -16x +3 = 0

ax2 bx c = 0

a = 13

b = -16

c = 3

Δ = b2-4ac

Δ = -16² - (4 * 13 * 3)

Δ = 256 - (4*39)

Δ = 256 - (156)

Δ = 100      Δ > 0

13x2-16x+3=0

x = -b ∓ √Δ 2a

x' = 16 - √100 2*13 = 16 - 10.0 26 = 6.0 26 = 0.230769230769

x" = 16 + √100 2*13 = 16 + 10.0 26 = 26.0 26 = 1.0

x' = 39.0

x" = 169.0

S = {x ∈ R / x' = 39.0, x" = 169.0 }