-6x2 +13x -2 = 0

ax2 bx c = 0

a = -6

b = 13

c = -2

Δ = b2-4ac

Δ = 13² - (4 * -6 * -2)

Δ = 169 - (4*12)

Δ = 169 - (48)

Δ = 121      Δ > 0

-6x2+13x-2=0

x = -b ∓ √Δ 2a

x' = -13 - √121 2*-6 = -13 - 11.0 -12 = -24.0 -12 = 2.0

x" = -13 + √121 2*-6 = -13 + 11.0 -12 = -2.0 -12 = 0.166666666667

x' = 72.0

x" = 6.0

S = {x ∈ R / x' = 72.0, x" = 6.0 }