-3x2 +13x -10 = 0

ax2 bx c = 0

a = -3

b = 13

c = -10

Δ = b2-4ac

Δ = 13² - (4 * -3 * -10)

Δ = 169 - (4*30)

Δ = 169 - (120)

Δ = 49      Δ > 0

-3x2+13x-10=0

x = -b ∓ √Δ 2a

x' = -13 - √49 2*-3 = -13 - 7.0 -6 = -20.0 -6 = 3.33333333333

x" = -13 + √49 2*-3 = -13 + 7.0 -6 = -6.0 -6 = 1.0

x' = 30.0

x" = 9.0

S = {x ∈ R / x' = 30.0, x" = 9.0 }