-4x2 +13x -10 = 0

ax2 bx c = 0

a = -4

b = 13

c = -10

Δ = b2-4ac

Δ = 13² - (4 * -4 * -10)

Δ = 169 - (4*40)

Δ = 169 - (160)

Δ = 9      Δ > 0

-4x2+13x-10=0

x = -b ∓ √Δ 2a

x' = -13 - √9 2*-4 = -13 - 3.0 -8 = -16.0 -8 = 2.0

x" = -13 + √9 2*-4 = -13 + 3.0 -8 = -10.0 -8 = 1.25

x' = 32.0

x" = 20.0

S = {x ∈ R / x' = 32.0, x" = 20.0 }