5x2 -13x +6 = 0

ax2 bx c = 0

a = 5

b = -13

c = 6

Δ = b2-4ac

Δ = -13² - (4 * 5 * 6)

Δ = 169 - (4*30)

Δ = 169 - (120)

Δ = 49      Δ > 0

5x2-13x+6=0

x = -b ∓ √Δ 2a

x' = 13 - √49 2*5 = 13 - 7.0 10 = 6.0 10 = 0.6

x" = 13 + √49 2*5 = 13 + 7.0 10 = 20.0 10 = 2.0

x' = 15.0

x" = 50.0

S = {x ∈ R / x' = 15.0, x" = 50.0 }