-4x2 +14x -10 = 0

ax2 bx c = 0

a = -4

b = 14

c = -10

Δ = b2-4ac

Δ = 14² - (4 * -4 * -10)

Δ = 196 - (4*40)

Δ = 196 - (160)

Δ = 36      Δ > 0

-4x2+14x-10=0

x = -b ∓ √Δ 2a

x' = -14 - √36 2*-4 = -14 - 6.0 -8 = -20.0 -8 = 2.5

x" = -14 + √36 2*-4 = -14 + 6.0 -8 = -8.0 -8 = 1.0

x' = 40.0

x" = 16.0

S = {x ∈ R / x' = 40.0, x" = 16.0 }