-6x2 -13x +5 = 0

ax2 bx c = 0

a = -6

b = -13

c = 5

Δ = b2-4ac

Δ = -13² - (4 * -6 * 5)

Δ = 169 - (4*-30)

Δ = 169 - (-120)

Δ = 289      Δ > 0

-6x2-13x+5=0

x = -b ∓ √Δ 2a

x' = 13 - √289 2*-6 = 13 - 17.0 -12 = -4.0 -12 = 0.333333333333

x" = 13 + √289 2*-6 = 13 + 17.0 -12 = 30.0 -12 = -2.5

x' = 12.0

x" = -90.0

S = {x ∈ R / x' = 12.0, x" = -90.0 }